among coffee drinkers, males drink 3.2 cups per day with a std dev of 0.8.  If a sample of 20 males is selected, what is the probability that the mean number of cups per day is greater than 3.  Use exel. I thought I would use binom.dist, but I don't know the probability value.  What am I missing?

You play roulette and observe the ball land in the 1st dozen (i.e., 1-12) 5 times out of 5 spins. You want to perform a test to determine if the wheel is fair. State the null and alternative hypothesis. What is the p-value of this test? For ? α =.05 significance level, what do you conclude?

An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb.  b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? c. When redesigning the ejection seat, which probability is more relevant? part b because the seat performance for a single pilot is more important part b because the seat performance for a sample of pilots is more important Part a because the seat performance for a single pilot is more important  part a because the seat performance for a sample of pilots is more important.  please show solving steps and if possible tell me how to also get these answers through excel…

please help.  thank you

The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers.  A random sample of 100 orders will be used to estimate the proportion of first-time customers.  What is the probability that the sample proportion will be within .05?

Please use the approporate stats table provided. Do not use a software for this problem. Q17: If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:a. No accidents b. One accident c. Two or more