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Category: Pre-Calculus
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Experience:  B.S. in Civil Engineering
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# 1. A credit card company decides to study the frequency with

### Customer Question

1. A credit card company decides to study the frequency with which its cardholders charge for items from
a certain chain of retail stores. The data values collected in the study appear to be normally distributed with
a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number
of cardholders, about how many would you expect are charging 27 or more purchases in this study?
A. 47.8%
B. 94.8%
C. 68.3%
D. 15.9%
2. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation
of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal
distribution.)
A. 4.2%
B. 0.3%
C. 4.5%
D. 2.1%
3. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome
with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times.
Assume each repetition is independent of the others. What is the probabi
Submitted: 1 year ago.
Category: Pre-Calculus
Expert:  Ryan replied 1 year ago.
Hi,
Thank you for using the site.
It appears that your questions may have been cut off in your post. Problem #3 in incomplete, and any other subsequent problems are missing. Can you possibly post the entire set as a Word or PDF file?
Thanks,
Ryan
Customer: replied 1 year ago.
Mr. Ryan, Sorry for delay. This is the full set of questions.1. A credit card company decides to study the frequency with which its cardholders charge for items from a certain chain of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard deviation of 2 charged purchases. Out of the total number of cardholders, about how many would you expect are charging 27 or more purchases in this study?
A. 47.8%
B. 94.8%
C. 68.3%
D. 15.9%
2. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.)
A. 4.2%
B. 0.3%
C. 4.5%
D. 2.1%
3. Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of the others. What is the probability of three successes?
A. 0.238
B. 0.055
C. 1.14
D. 0.762
4. Each football game begins with a coin toss in the presence of the captains from the two opposing teams. (The winner of the toss has the choice of goals or of kicking or receiving the first kickoff.) A particular football team is scheduled to play 10 games this season. Let x = the number of coin tosses that the team captain wins during the season. Using the appropriate table in your textbook, solve for P(4 ≤ x ≤ 8).
A. 0.817
B. 0.377
C. 0.246
D. 0.171
5. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 6. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour?
A. 0.342
B. 0.136
C. 0.475
D. 0.2396. Using the standard normal table in the textbook, determine the solution for P(0.00 ≤ z ≤ 2.01).
A. 0.4778
B. 0.0222
C. 0.1179
D. 0.4821
7. Which of the following is correct concerning the Poisson distribution?
A. Each event being studied must be statistically dependent on the previous event.
B. The mean is usually smaller than the variance.
C. The mean is usually larger than the variance.
D. The event being studied is restricted to a given span of time, space, or distance.
8. An apartment complex has two activating devices in each fire detector. One is smoke-activated and has a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently of the other. Presume a fire starts near a detector. What is the probability that both activating devices will work properly?
A. 0.931
B. 0.049
C. 0.9895
D. 0.9659. Which of the following is a discrete random variable?
A. The time required to drive from Dallas to Denver
B. The weight of football players in the NFL
C. The number of three-point shots completed in a college basketball game
D. The average daily consumption of water in a household10. If the probability that an event will happen is 0.3, what is the probability of the event's complement?
A. 1.0
B. 0.1
C. 0.7
D. 0.3
11. Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events?
A. 0
B. 28
C. 22
D. 1012. A basketball team at a university is composed of ten players. The team is made up of players who play the position of either guard, forward, or center. Four of the ten are guards, four are forwards, and two are centers. The numbers that the players wear on their shirts are 1, 2, 3, and 4 for the guards; 5, 6, 7, and 8 for the forwards; and 9 and 10 for the centers. The starting five are numbered 1, 3, 5, 7, and 9. Let a player be selected at random from the ten. The events are defined as follows:Let A be the event that the player selected has a number from 1 to 8.
Let B be the event that the player selected is a guard.
Let C be the event that the player selected is a forward.
Let D be the event that the player selected is a starter.
Let E be the event that the player selected is a center.Calculate P(C).
A. 0.40
B. 0.50
C. 0.20
D. 0.80
13. A continuous probability distribution represents a random variable
A. having outcomes that occur in counting numbers.
B. that's best described in a histogram.
C. that has a definite probability for the occurrence of a given integer.
D. having an infinite number of outcomes that may assume any number of values within an interval.
14. What is the value of (8 over 5)?
A. 56
B. 1.6
C. 6720
D. 336
15. From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the selected card is either an ace, a queen, or a three?
A. 0.3
B. 0.0769
C. 0.25
D. 0.2308
Customer: replied 1 year ago.
16. The area under the normal curve extending to the right from the midpoint to z is 0.17. Using the standard normal table on the textbook's back end sheet, identify the relevant z value.
A. –0.0675
B. 0.4554
C. 0.44
D. 0.067517. Find the z-score that determines that the area to the right of z is 0.8264.
A. 0.94
B. –0.94
C. –1.36
D. 1.36
18. Let event A = rolling a 1 on a die, and let event B = rolling an even number on a die. Which of the following is correct concerning these two events?
A. Events A and B are exhaustive.
B. On a Venn diagram, event B would contain event A.
C. Events A and B are mutually exclusive.
D. On a Venn diagram, event A would overlap event B.19. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers.
A. 0.1354
B. 0.9939
C. 0.0071
D. 0.007520. Approximately how much of the total area under the normal curve will be in the interval spanning 2 standard deviations on either side of the mean?
A. 95.5%
B. 68.3%
C. 50%
D. 99.7%
Expert:  Ryan replied 1 year ago.

Hi,

Thanks. I will get the solutions posted for you as quickly as I can.

Ryan

Expert:  Ryan replied 1 year ago.

Hi,

Here are the solutions:

Solutions