When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who develop an allergic reaction. x P(x) 0 0.,665 1 0.278 2 0.052 3 0.004 4 0.001 5 0.000 a. Find its mean and standard deviation, (Round to one decimal place as needed) b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)

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When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the
number of males in the group who develop an allergic reaction.
x P(x)
0 0.665
1 0.278
2 0.052
3 0.004
4 0.001
5 0.000
a. Find its mean and standard deviation. (Round to one decimal place as needed)
b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)
Transcribed Image Text:When conducting research on allergic reactions to a new drug, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who develop an allergic reaction. x P(x) 0 0.665 1 0.278 2 0.052 3 0.004 4 0.001 5 0.000 a. Find its mean and standard deviation. (Round to one decimal place as needed) b. What is the probability of at least 3 males developing an allergic reaction? (Round to three decimal places as needed)
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