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# Binomial probabilities and sample probabilities

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A normal population has a mean of 80.0 and a standard deviation of 14.0. Compute the probability of a value between 75.0 and 90.0. Compute the probability of a value 75.0 or less. Compute the probability of a value between 55.0 and 70.0.

In a binomial situation n = 4 and p = .25. Determine the probabilities of the following events using the binomial formula.
x = 2
x = 3

In a binomial situation n = 5 and p = .40. Determine the probabilities of the following events using the binomial formula.
x = 1
x = 2

The mean rent for a one-bedroom apartment in Southern California is \$2,200 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least \$1,950 per month? The standard deviation of the sample is \$250