Use the Central Limit Theorem to find the indicated probability. The sample size is n, the population proportion is p, and the sample proportion is .
n = 160, p = 0.29; P( > 0.3)

P(X > 0.3) = 0.3897

Step-by-step explanation:

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation

Applying the central limit theorem:

P( > 0.3)

This is 1 subtracted by the pvalue of Z when X = 0.3. So

By the Central Limit Theorem

has a pvalue of 0.6103

1 - 0.6103 = 0.3897

So

P(X > 0.3) = 0.3897

on the middle line

step-by-step explanation:

1/5=50

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

you!

if you need more with your math, visit khan academy where we give videos and tutorials   on everything math. we are efficent in our work.

you,

from,

the khan academy team