# Probability & Mean deviation

1. A card is drawn from a deck of 52 cards. What is the probability that it is an ace or a six?

2. The proability that a person has immunity to a particular disease is 0.3. Find the mean and standard deviation for the random variable x, the number of people who have immunity in samples of size 28.

3. The variable X is normally distributed. The mean is 60.0, and the standard deviation is 4.0. If an item is randomly selected, find the probability that is less than 53.0.

4. The mean and standard deviation for a population are 86 and 14, respectively. Samples of size 49 are selected randomly from the population. Find the mean deviation of the sampling distribution.

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#### Solution Summary

The solution provides step-by-step method for the calculation of normal probability and mean deviation. Formula for the calculation and Interpretations of the results are also included.