Question

An unfair coin is such that on any given toss, the probability of getting heads is...

An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed.

1. Find P(X=5).

2. Find P(X≥3).

3. What is the expected value for this random variable?

E(X) =

4. What is the standard deviation for this random variable? (Give your answer to 3 decimal places)

SD(X) =

Homework Answers

Answer #1

X : the number of times heads is tossed.

X ~ bin (n,p)

where, n = 8 ,p =0.6, q=0.4

the pmf of the distribution be:-

c). the expected value for this random variable is:-

d).the standard deviation for this random variable is:-

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