Fill in the blanks below to make a true statement. in a binomial experiment with n trials and probability of success p, if np (1 - p) ≥ 10, the binomial random variable x is approximately normal with mu x= and sigma x=
a. 10. 100.
b. np ( 1 - p ) . 5. np.
c. np/( 1 - p ).

Step-by-step explanation:

∵ When x is a random variable having distribution B(n, p), then for sufficiently large value of n, the following random variable has a standard normal distribution,

Where,

Here the variable X has a binomial distribution,

Such that, np (1 - p) ≥ 10 ⇒ n is sufficiently large.

Where, n is the total numbers of trials, p is success in each trials,

So, the mean of variable X is,

And, variance of variable X is,

555.99.

step-by-step explanation:

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