Compute p(x) using the binomial probability formula. then determine whether the normal distribution can be used to estimate this probability. if so, approximate p(x) using the normal distribution and compare the result with the exact probability.
n=58
p=0.3
x=12
answer a, b, and c below.
a) for n=58, p= 0.3, and x=12, use the binomial probability formula to find p(x).
b) approxiamte p(x) using the normal distribution. use a standard distribution table.
c)by how much to the probabilities differ?

a) 0 .0355

b) 0 .0345

c) The probabilities differ by 0.0010

Step-by-step explanation:

We are given the following information:

a) P(Success) = 0.3

n = 58

x = 12

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 58 and x = 12

We have to evaluate:

b) Using the normal distribution

n = 12

p = 0.3

q = 1 - p = 1 - 0.3 = 0.7

b)

Formula:

P(x = 12)

Calculation the value from standard normal z table, we have,  

c) Difference

0.0355 - 0.0345 = 0.0010

Thus, the probabilities differ by 0.0010

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).