In a population of indigenous Maori people, the probability that a randomly sele

Question

In a population of indigenous Maori people, the probability that a randomly selected subject will have been exposed to a plant-based allergen and experience a reaction to it is .60. The probability is.80 that a subject exposed to the allergen will experience an allergic reaction. If a subject is selected at random from this population, what is the probability that he or she will have been exposed to the allergen? The objective of a study by a research team was to analyze certain basic pharmacokinetic parameters in women who were treated with a selective serotonin reuptake inhibitor. The weights (in kilograms) of the 14 women who participated in the study were: 62 53 57 52 55 69 64 60 59 60 60 51 69 92 For this group, compute: (a) the mean, (b) the median, (c) the mode, (d) the range, (e) the variance, (f) the standard deviation, and (g) the coefficient of variation In a certain population of cattle, 4 percent have had cowpox, 28 percent have had Asian flu, and 7.2 percent have had both diseases. A steer is selected at random from the population. What is the probability that the steer has had cowpox or Asian flu or both?

Explanation / Answer

As per the chegg policy, we are advised to do one question at a time. So, i am attempting the 2nd one.

2. Let E represents the event of exposed to allergen and R represents the event of reaction. Given,

P(E and R) = 0.60

P(R | E) = 0.80

By the formula,

P(R | E) = P(R and E)/ P(E)

Hence,

P(E) = P(R and E) / P(R | E)

PE) = 0.60/0.80

P(E) = 0.75

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