Use n- 10, and p 0.6 complete parts (a) through (c) below. to (b) Find the proba

Question

Use n- 10, and p 0.6 complete parts (a) through (c) below. to (b) Find the probabilities and construct a binomial probability distribution with the given parameters Compute the mean and standard deviation of the random variable Draw the histogram, comment on its shape. andlatel the mean on the histogram (al To construct abnomial probabily dstitution complote the tatle to the (by Compute the mean and standard deviation of the random variable v.. (Round to one decimal place as needed n.. (Round to one decimal place as needed) Cick to select your answer(s) (Round to four decimal places as needed)

Explanation / Answer

n = 10

p = 0.6

P(X = x) = 10Cx * 0.6x * (1 - 0.6)10-x

a) P(0) = 10C0 * 0.60 * 0.410 = 0.0001

P(1) = 10C1 * 0.61 * 0.49 = 0.0016

P(2) = 10C2 * 0.62 * 0.48 = 0.0106

P(3) = 10C3 * 0.63 * 0.47 = 0.0425

P(4) = 10C2 * 0.64 * 0.46 = 0.1115

P(5) = 10C5 * 0.65 * 0.45 = 0.2007

P(6) = 10C6 * 0.66 * 0.44 = 0.2508

P(7) = 10C7 * 0.67 * 0.43 = 0.2150

P(8) = 10C8 * 0.68 * 0.42 = 0.1209

P(9) = 10C9 * 0.69 * 0.41 = 0.0403

P(10) = 10C10 * 0.610 * 0.40 = 0.0060

b) x = n * p = 10 * 0.6 = 6

= sqrt(n * p * (1 - p)) = sqrt(10 * 0.6 * 0.4) = 1.5

c) Option-A)

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