And Probability

How many outcomes are there with tossing a coin and rolling a dice?

• 2

• 6

• 12

• 24

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

• 5/11

• 5/6

• 1/3

• 5

A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:

X 0 1 2 3 4 5

P(X) 0.24 0.37 0.20 0.11 0.05 0.03

What is the probability that a randomly chosen household has at least two cars?

• 0.20

• 0.29

• 0.39

• 0.61

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

• ₁₀₀C₇₀ ( 0.18 )³⁰ ( 0.90 )⁷⁰

• ₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁶⁰

• ₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

• ₉₉C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

• 0.07

• 0.13

• 0.87

• 0.94

• 50

• 4

• 20

• 10

For a randomly selected subject in a standard normal distribution (mean is 0 and standard deviation is 1), find the probability of a score between 1.37 and 2.42.

• 0.078

• 0.785

• 0.223

• 0.023

An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with μ = 15.5 and σ = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases?

• 0.3944

• 0.1056

• 0.4040

• 0.8944

If the mean number of words typed is 40 with a standard deviation of 7, between what number of words type do 95% of all people type

• 19 - 61 words

• 26 - 54 words

• 33 - 47 words

• 47 - 61 words

• 19 - 54 words

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

• 0.6915

• 0.1762

• 0.8238

• -0.93