Question

- Normal Approximation to Binomial

Assume n = 100, p = 0.4.

- Use the Binomial Probability function to compute the P(X = 40)
- Use the Normal Probability distribution to approximate the P(X = 40)
- Are the answers the same? If not, why?

Answer #1

1. Normal Approximation to Binomial Assume
n = 10, p = 0.1.
a. Use the Binomial Probability function to compute the P(X =
2)
b. Use the Normal Probability distribution to approximate the
P(X = 2)
c. Are the answers the same? If not, why?

Find the normal approximation for the binomial probability of
(don't use binomial probability) A) P(x=4) where n=13 and P=.5 B) P
(X<3) where n =13 and P=.5

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=
62, p= 0.4, and X= 31

X is a binomial random variable with n = 15 and p = 0.4.
a. Find using the binomial distribution.
b. Find using the normal approximation to the binomial
distribution.

Assume that x is a binomial random variable with n and p as
specified below. For which cases would it be appropriate to use
normal distribution to approximate binomial distribution? a. n=50,
p=0.01 b. n=200, p=0.8 c. n=10, p=0.4

Use the normal approximation to the binomial to find the
probability for n=12 p=0.5 and x≥8. Round z-value calculations to 2
decimal places and final answer to 4 decimal places

A binomial probability distribution has p = 0.20 and n =
100.
(d) What is the probability of 17 to 23 successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)
(e) What is the probability of 14 or fewer successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)

A binomial distribution has p? = 0.26 and n? = 76. Use the
normal approximation to the binomial distribution to answer parts
?(a) through ?(d) below.
?a) What are the mean and standard deviation for this?
distribution?
?b) What is the probability of exactly 15 ?successes?
?c) What is the probability of 14 to 23 ?successes?
?d) What is the probability of 11 to 18 ?successes

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.
nequals54, p equals 0.7, and X equals 37 For n equals 54,
pequals0.7, and Xequals37, use the binomial probability formula
to find P(X).

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=50, p=0.50, and x=17 For n=50, p=0.5, and X=17, use the
binomial probability formula to find P(X).
Q: By how much do the exact and approximated probabilities
differ?
A. ____(Round to four decimal places as needed.)
B. The normal distribution cannot be used.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 9 minutes ago

asked 16 minutes ago

asked 29 minutes ago

asked 37 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago