Suppose X follows a binomial distribution with =n29 trials and probability of success =p0.40.(If necessary, consult a list of formulas.)(a)Find μX, the mean of X. Do not round your answer.=μX(b)The histograms of three binomial distributions are shown below. Choose the one that could be the histogram of the distribution of X.Histogram A0.050.100.150.20510152025300-1Histogram B0.050.100.150.20510152025300-1Histogram C0.050.100.150.20510152025300-1CheckSave For LaterSubmit AssignmentTerms of Use
Question
Suppose X follows a binomial distribution with =n29 trials and probability of success =p0.40.(If necessary, consult a list of formulas.)(a)Find μX, the mean of X. Do not round your answer.=μX(b)The histograms of three binomial distributions are shown below. Choose the one that could be the histogram of the distribution of X.Histogram A0.050.100.150.20510152025300-1Histogram B0.050.100.150.20510152025300-1Histogram C0.050.100.150.20510152025300-1CheckSave For LaterSubmit AssignmentTerms of Use
Solution
(a) The mean of a binomial distribution is calculated using the formula μX = np. Here, n is the number of trials and p is the probability of success.
Given n = 29 and p = 0.40, we can substitute these values into the formula:
μX = np μX = 29 * 0.40 μX = 11.6
So, the mean of X is 11.6.
(b) Without the actual histograms, it's impossible to determine which one could be the histogram of the distribution of X. However, you would generally look for a histogram that peaks around the mean (11.6 in this case) and is skewed to the right, as the probability of success (0.40) is less than 0.5.
Similar Questions
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