Cross multiply X×4=3×1
4x=3
X= 3/4
Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be 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.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
Answer:
A. 0.0049
B. Yes
Step-by-step explanation:
Sample proportion = 0.64
N = 1000
Population proportion = 0.60
We solve for standard deviation
= √p(1-p)/n
= √0.60(1-0.60)/1000
= √0.60x0.40/1000
= √0.00024
= 0.0155
A.
The probability of sample >=0.64
Z>=0.64-0.60/0.0155
Z >= 0.04/0.0155
So z >= 2.5806
Using excel this equal to 0.0049
0.0049 is probability of sample proportion being 0.64 at least.
B.
This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.
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Answer:
A and D
Step-by-step explanation: