I don’t get this at all I need the answers??
1 answer:
You might be interested in
Answer:
The minimum score required for the scholarship is 644.
Step-by-step explanation:
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.
In this problem, we have that:
What is the minimum score required for the scholarship?
Top 8%, which means that the minimum score is the 100-8 = 92th percentile, which is X when Z has a pvalue of 0.92. So it is X when Z = 1.405.
The minimum score required for the scholarship is 644.
Answer:
a. 0.098
b. 4.41
c. Yes, it does.
Step-by-step explanation:
a.
The Poisson distribution's equation is:
P(x) = (nˣ*e⁻ⁿ)/x!
where P is the probability, n is mean number, and x the number of the event happens, so:
P(3) = 0.098
b.
For 45 years, the years that are expected to have 3 hurricanes are
P(3) * 45 = 0.098*45 = 4.41
c.
Yes, it does. The Poisson distribution works well because the observed value of the number of years that 3 hurricanes occur is 45-year period is very close to the calculated value.