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,

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

step-by-step explanation: