Question

If x is a binomial random variable with n = 6 and p = 0.15, find

the following values, expressed to 4 decimal places.
P(x = 4) =
P(x >= 4 ) =
P(x < 4) =

Answer 1

To calculate the values, we can use the binomial probability formula. For P(x = 4), use binompdf(6, 0.15, 4) to get the result as 0.1623. For P(x >= 4), use 1 - P(x < 4), which is equal to 1 - binomcdf(6, 0.15, 3). The result is approximately 0.3146. For P(x < 4), use binomcdf(6, 0.15, 3) to get the result as 0.6854.

Step-by-step explanation:

The question is asking for the values of P(x = 4), P(x >= 4), and P(x < 4) for a binomial random variable x with n = 6 and p = 0.15.

To calculate these values, we can use the binomial probability formula. For P(x = 4), we use binompdf(6, 0.15, 4) to get the result as 0.1623.

For P(x >= 4), we can use 1 - P(x < 4), which is equal to 1 - binomcdf(6, 0.15, 3). The result is approximately 0.3146.

For P(x < 4), we can use binomcdf(6, 0.15, 3) to get the result as 0.6854.