1. A truck's container has dimensions of 10 ft * 6 ft * 3 ft. It needs to transport microwaves (each takes 5 cubic feet of space
1 answer:
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Answer:
0.6 is the probability of success of a single trial of the experiment
Complete Problem Statement:
In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by
What is the probability of success of a single trial of this experiment?
Options:
- 0.07
- 0.56
- 0.79
- 0.6
Step-by-step explanation:
So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:
=
now,
so,
by comparing with , we get:
μ=np=27
=3.29
put np=27
we get:
=3.29
take square on both sides:
10.8241=27-27p
27p=27-10.8241
p=0.6
Which is the probability of success of a single trial of the experiment
Answer:
Confidence =
And then the confidence level would be given by 99%
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
The distribution for the sample mean is given by:
represent the sample mean
represent the population standard deviation
n= 100 sample size selected.
The confidence interval is given by this formula:
(1)
The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:
And we can find the critical value like this:
And we know that on the right tail of the z score =2.576 we have of the total area. We can find the area on the right of the z score using this excel code:
"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=, so then
, and then we can find the confidence like this:
Confidence =
And then the confidence level would be given by 99%