Consider the probability that 93 out of 127 students will not pass their college replacement exams. Assume the probability that a given student will not pass their college placement exam is 98%

Yes, the normal curve can be used as an approximation to the binomial probability.

Step-by-step explanation:

Let X = number of students that pass their college placement exam.

The probability that a given student will pass their college placement exam is, P (X) = p = 0.53.

A random sample of n = 127 students is selected.

The random variable X follows a Binomial distribution.

But the sample size is too large.

A Normal approximation to Binomial can be used to approximate the distribution of proportion p.

The conditions to be satisfied are:

np ≥ 10

n(1-p) ≥ 10

Check whether the conditions are satisfied as follows:

Both he conditions are satisfied.

Thus, a normal curve can be used as an approximation to the binomial probability.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

step-by-step explanation: