Question

Given a random sample of size of

n equals =3,600

from a binomial probability distribution with

P equals=0.50​,

complete parts​ (a) through​ (e) below.

Click the icon to view the standard normal table of the cumulative distribution function

.a. Find the probability that the number of successes is greater than 1,870.

​P(X greater than>1 comma 1,870​)

​(Round to four decimal places as​ needed.)b. Find the probability that the number of successes is fewer than

1 comma 1,765.

​P(X less than<1 comma 1,765​) =

​(Round to four decimal places as​ needed.)c. Find the probability that the number of successes is between

1 comma 1,795

and

1 comma 1,830.

​P(1 comma1,795 less than<X less than<1 comma 1,830​) =

​(Round to four decimal places as​ needed.)d. With probability

0.10​,

the number of successes is fewer than how​ many?

​P(X less than<nothing ​)equals=0.10

​(Round to two decimal places as​ needed.)

e. With probability

0.07

the number of successes is greater than how​ many?

Answer 1