AP Stats Binomial Distribution

A maintentance check is done on sewing machines in a clothing factory. There is a 7% chance that the machine has broken down. They randomly sample 250 machines, how many are expected to be broken?

• 7
• 5
• 18
• 12
• None of the above

On an approxmately normal disturbution, the z scores -2 through 2 account for what percent of the sample?

• 0.68
• 0.95
• 0.997
• 0.475
• None of the above

In the binomial formula, what does p^k represent?

• probability of success
• probability of failure
• # of successes
• total trials
• None of the above

A shipping company produces 40% of their packages within a day of processing. They take a sample of 3000 packages, what is the standard deviation of the sample?

• 268
• 234
• 312
• 287
• None of the above

Lebron James has an 82% chance to make a free throw ftom the line each time. What is the probability he will make 14 shots when he shoots 20?

• 0.036
• 0.149
• 0.134
• 0.082
• None of the above

Which of the following are ways to check if the problem is a binomial?

• Binary
• Shape
• Independence
• Graphing
• None of the above

A t shirt company produces 17% of their t shirts in the color blue within a day of production. What is the mean number of blue shirts in a sample of 500?

• 80
• 8.4
• 85
• 92
• None of the above

How do you check for normality in a binomial disturbution?

• Empirical Rule
• Independent
• Binary
• Graph it
• None of the above

A baseball player has a batting average of 0.32. This is the general probability that he gets a hit each time he is at bat. What is the probability that he gets his first hit in the third trip to bat?

• 0.148
• 0.287
• 1.2
• 0.32
• 2.341

A baseball player has a batting average of 0.320. This is the general probability that he gets a hit each time he is at bat. On average, how many tries will it take before he hits the ball?

• 4
• 3.125
• 2.755
• 0.32
• Not enough info