Probability Questions and Answers

Nadir and Grady work at a company with 50 employees total. The company is going to promote two employees to a director and a manager role. What is the probability that both positions are given to Nadir and Grady?
Select one:
O 1/2450
O  1/1225
O  1/100
O  1/2500
Statistics
Probability
Nadir and Grady work at a company with 50 employees total. The company is going to promote two employees to a director and a manager role. What is the probability that both positions are given to Nadir and Grady? Select one: O 1/2450 O 1/1225 O 1/100 O 1/2500
A single card is drawn at random from a standard deck of cards. What is the probability of drawing
a queen or a diamond?
Select one:
O 1/4
O 4/13
O 1/52
O  17/52
Statistics
Probability
A single card is drawn at random from a standard deck of cards. What is the probability of drawing a queen or a diamond? Select one: O 1/4 O 4/13 O 1/52 O 17/52
10 candidates are running for president and vice president positions. What is the probability that a
particular candidate does not win a position?
Select one 
1/5
4/5
1/20
1/10
Statistics
Probability
10 candidates are running for president and vice president positions. What is the probability that a particular candidate does not win a position? Select one 1/5 4/5 1/20 1/10
Ten cars were recently assembled at a factory. Of these cars, 3 will be picked at random for inspection. Of the 10 cars, 5 are blue and 5 are grey. What is the probability that all 3 cars picked for inspection will be blue?
1/20
3/80
1/12
3/50
Statistics
Probability
Ten cars were recently assembled at a factory. Of these cars, 3 will be picked at random for inspection. Of the 10 cars, 5 are blue and 5 are grey. What is the probability that all 3 cars picked for inspection will be blue? 1/20 3/80 1/12 3/50
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance x, and sample sizes n₁ and n₂. Assume that the samples are independent, normal, and
random. Answer parts (a) and (b).
Ha: H₁ H₂, α=0.005, n₁ = 12, n₂ = 10
...
(a) Find the critical value(s) assuming that the population variances are equal.
- 2.845
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
(b) Find the critical value(s) assuming that the population variances are not equal.
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Statistics
Probability
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance x, and sample sizes n₁ and n₂. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: H₁ H₂, α=0.005, n₁ = 12, n₂ = 10 ... (a) Find the critical value(s) assuming that the population variances are equal. - 2.845 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Fill in the blank.
A value at the center or middle of a data set is a(n)
A value at the center or middle of a data set is a(n)
Statistics
Probability
Fill in the blank. A value at the center or middle of a data set is a(n) A value at the center or middle of a data set is a(n)
Business projection: An investor is considering an investment in a start-up company. She estimates that she has probability
0.39 of a $23,000 loss, probability 0.21 of a $8300 profit, probability 0.14 of a $35,000 profit, and probability 0.26 of breaking
even (a profit of $0). What is the expected value of the profit? Would you advise the investor to make the investment?
Statistics
Probability
Business projection: An investor is considering an investment in a start-up company. She estimates that she has probability 0.39 of a $23,000 loss, probability 0.21 of a $8300 profit, probability 0.14 of a $35,000 profit, and probability 0.26 of breaking even (a profit of $0). What is the expected value of the profit? Would you advise the investor to make the investment?