Answer:
Provided in the picture below.
Step-by-step explanation:
Provided in the picture below.
The probability that the sample mean would differ from the true mean by less than 2 months is 0.7923.
n=67μ=119σ=13The probability that the sample mean would differ from the true mean by less than 2 months.
[tex]P(|X-u| < 2)=P(\frac{(119-2)-119}{13/\sqrt{67} } < \frac{X-u}{sigma/{\sqrt{n} } } < \frac{(119+2)-119}{13/\sqrt{67} } )[/tex]
[tex]=P(\frac{-2}{0.6247} < Z < \frac{2}{0.6247} )[/tex]
[tex]=P(-1.26 < Z < 1.26)[/tex]
[tex]=P(Z < 1.26)-P(Z < -1.26)[/tex]
[tex]=(0.896165-0.103835)=0.792331=0.7923[/tex]
Hence, the answer is 0.7923
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
To learn more about probability, refer
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