Let x be the number of tails seen in 50 tosses of a quarter. Find the mean of x.

Question

Let x be the number of tails seen in 50 tosses of a quarter. Find the mean of x.

Let x be the number of tails seen in 50 tosses of a quarter. Find the standard deviation of x. Keep your answer with four decimal place

Let x be the number of left-handed student in a classroom of 40 students. Assume that 11% of the population is left-handed. Find the mean of x.

Let x be the number left-handed student in a classroom of 40 students. Assume that 11% of the population is left-handed. Find the standard deviation of x. Keep your answer with four decimal places.

A binomial experiment always has three or more possible outcomes to each trial. True OR False

Explanation / Answer

a) P(tail), p = 0.5

n = 50

mean of X = n * p = 50 * 0.5 = 25

b) p = 0.5

n = 50

standard deviation of x = sqrt(n * p * (1 - p))

                                     = sqrt(50 * 0.5 * (1 - 0.5))

                                     = 3.5355

c) p = 0.11

n = 40

mean of x = n * p = 40 * 0.11 = 4.4

d) p = 0.11

n = 40

standard deviation of x = sqrt(n * p * (1 - p)) = sqrt(40 * 0.11 * (1 - 0.11)) = 1.9789

e) False. It has only two possible outcomes

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