36%of women consider themselves fans of professional baseball
36%of women consider themselves fans of professional baseball. You randomly select six women and ask each if she
considers herself a fan of professional baseball. Complete parts(a) through(c) below.
(a) Construct a binomial distribution using n=6 and p=0.36.
| x | P(x) |
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 |
(Round to the nearest thousandth asneeded.)(b) Graph the binomial distribution using a histogram and describe its shape. Choose the correct graph below.A.
024600.050.10.150.20.250.30.350.4xP(x)x y graphB.
024600.050.10.150.20.250.30.350.4xP(x)x y graphC.
024600.050.10.150.20.250.30.350.4xP(x)x y graphD.
024600.050.10.150.20.250.30.350.4xP(x)x y graphDescribe the shape of the histogram. Choose the correct answer below.A.
SymmetricalB.
Skewed leftC.
Skewed rightD.
None of these (c)
What values of the random variables would you consider unusual? Explain your reasoning.On average, blank of 6 women would consider themselves baseball fans, with a standard deviation of blank women. The values x=5 and x= blank would be unusual because their probabilities are ▼less than greater than equal to 0.05.
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