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The probability that a train leaves on time is 0.90. The probability that this train both leaves on time
$2.00$1.00Question: The probability that a train leaves on time is 0.90. The probability that this train both leaves on time and arrives on time is 0.75. If the train leaves on time, then what is the probability that is also arrives on time?.

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Barbara is a quality control inspector at a shoe factory. At the end of each day, she checks
$2.00$1.00Question: Barbara is a quality control inspector at a shoe factory. At the end of each day, she checks the number of imperfections found in sneakers. The table below represents the probability density function for the random variable X, t imperfections found in sneakers per day. Find the standard deviation of X. Round the final answer to two decimal places
x P(X=x) 0 1/4 2 1/4 4 1/4 7 1/4 
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Suppose that 32% of all users the Infinity Affinity Web site drink diet soft drinks regularly
$2.00$1.00Question:
Suppose that 32% of all users the Infinity Affinity Web site drink diet soft drinks regularly. What is the probability that in survey of a randomly selected sample of 200 of the site’s users, the proportion who say that they drink diet soft drinks regularly will be 40% or less? (Show your work. As part of your answer, you should confirm that the sampling distribution of p is approximately Normal.)

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The waiting time (in minutes) for customers at a driveinbank is an exponentially distributed
$2.00$1.00Question:
The waiting time (in minutes) for customers at a driveinbank is an exponentially distributed random variable. The average(mean) time a customer waits is 4 minutes. What is the probability that a customer waits more than 5 minutes?