# Probability Questions and Answers

Statistics

ProbabilityIf we pick one Spring 2011 Math 1530 student at random, what is the probability
that we get a male student?
PERCENT ANSWER WITH TWO PLACES AFTER THE DECIMAL.

Statistics

ProbabilityA bag contains 6 orange marbles and 7 green marbles. A marble is selected from the bag at random, set aside, and then another marble is selected. Which of the following choices shows the correct calculation of the probability that both marbles are orange?
select one
O 7/13 6/12 = 7/26
O 6/13 . 6/13 = 36/169
O 6/13 . 5/13 = 30/169
O 6/13 . 5/12 = 5/26

Statistics

ProbabilityA clothing store has 18 suits for sale. 10 of the suits are blue, and 8 are black. Two suits are chosen to be put on display on the store window. What is the probability that both suits will be black?
Select one:
O 9/144
O 7/306
O 28/153
O 4/9

Statistics

ProbabilityNadir 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

ProbabilityA 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

Probability10 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

ProbabilityTen 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

ProbabilityUse 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

ProbabilityFill 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

ProbabilityBusiness 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?