A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
2 answers:
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Answer:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
Previous concepts
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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that:
Answer:
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =
Step-by-step explanation:
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women
That is probability of participants of television quiz of equal numbers of men and women that is 50 %of men and 50% of women.
p = 50/100 = 1/2
q = 1-p = 1 - 1/2 = 1/2
n =10
we will use binomial distribution
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) = P(x=0)+P(x=1)+P(x=2)
= +
by using formula
on simplification we get
= +
= +
=
<u>Conclusion</u>:-
The probability of getting 2 or fewer women when 10 people are picked
P(x≤ 2) =