An airline knows from experiences that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with u=1505 and q=3.6. what is the probability that during a given week the airline will lose less than 20 suitcases?

If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X?  Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?

A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below

The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

What is the probability that a z-score will be 0.92 or more?