Question
17. The average score of a final exam in Principles of Statistics is 68 with a standard deviation of 18. Suppose that final exam scores
17. The average score of a final exam in Principles of Statistics is 68 with a standard deviation of 18. Suppose that final exam scores for Principles of Statistics follows a normal distribution. What is the probability of getting a score between 80 and 89 (B range score)?
c. 0.1308
Solve these questions using the Excel formula
14. What is the probability of getting AT LEAST 9 heads when tossing a fair coin 10 total times?
d. 0.0107
7.Suppose a batsman can hit the ball 50% of the time. Assume that the batsman has seen 6 balls and hit them all 6 times. What is the probability that the next ball will be hit?
a. 1/2
11. An airline company uses a random selection method to select who boards first, second, etc. for its small planes. If there are 20 people who need to be boarded, how many different ways can the first three be selected?
a. 6,840
12.Proctor and Gamble (P&G) ran YouTube ads for one of its brands of toothpaste. Based on a survey conducted, P&G assigned probabilities to the following events: A = individual purchased the toothpaste, B = individual recalls seeing the ad, (A intersection B) = individual purchased the toothpaste and recalls seeing the ad. The probabilities assigned were P(A) = 0.2, P(B) = 0.4, and (A intersection B) = 0.12. What is the probability that the individual purchases the toothpaste given that they recall seeing the ad?
c. 0.3
13.Proctor and Gamble (P&G) ran YouTube ads for one of its brands of toothpaste. Based on a survey conducted, P&G assigned probabilities to the following events: A = individual purchased the toothpaste, B = individual recalls seeing the ad, (A intersection B) = individual purchased the toothpaste and recalls seeing the ad. The probabilities assigned were P(A) = 0.2, P(B) = 0.4, and (A intersection B) = 0.12. What is the probability that an individual neither bought the toothpaste or saw an ad?
b. 0.52
18.Samir was born on 11/12/1990. He would like to make a eight-digit password using the digits in his birth date. How many different eight-digit passwords could he create?
e. 840
12.The following table tabulates the earnings for a particular investment plan with corresponding probabilities:
Earnings | Probability |
$1,100 | 0.3 |
$900 | 0.1 |
$130 | 0.2 |
-$250 | 0.3 |
-$710 | 0.1 |
What is the expected value of this investment plan?
b. $300.00
13. The following table tabulates the earnings for a particular investment plan with corresponding probabilities:
Earnings | Probability |
$1,100 | 0.3 |
$900 | 0.1 |
$130 | 0.2 |
-$250 | 0.3 |
-$710 | 0.1 |
What is the standard deviation (also known as volatility) of this investment plan?
a. $653.10
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