Mars, Inc. claims that 20% of its M&M plain candies are orange. A sample of 100 such candies is randomly selected. Find the mean and standard deviation for the number of orange
Candies in such groups of 100.
A)μ==20, σ 4.0
B)μ==20, σ .20
C)μ==.020, σ .20
D)μ==.20, σ 4.0

Question

Quizplus · Accepted Answer

The mean (μ) of orange candies in a sample of 100 is found by multiplying the total number by the probability (100 * 0.20 = 20). The standard deviation (σ) is calculated using the formula for the standard deviation of a binomial distribution, σ = sqrt(n*p*(1-p)), where n is the sample size (100) and p is the probability (0.20). Thus, σ = sqrt(100*0.20*0.80) = 4.0.

Mars, Inc Claims That 20% of Its M&M Plain Candies Are