Answer:
A. 16%
Step-by-step explanation:
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.
In this problem, we have that:

Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?
This is 1 subtracted by the pvalue of Z when X = 68. So



has a pvalue of 0.84.
1 - 0.84 = 0.16
So the correct answer is:
A. 16%
Features mostly popular solo songs.
Film music uses many different genres and types of music, but most of it isn't popular solo songs.
Hope it Helps! :)
Tell me if I'm right.
Answer: The running time should at least 119.32 seconds to be in the top 5% of runners.
Step-by-step explanation:
Let X= random variable that represents the running time of men between 18 and 30 years of age.
As per given, X is normally distrusted with mean
and standard deviation
.
To find: x in top 5% i.e. we need to find x such that P(X<x)=95% or 0.95.
i.e. 

Since, z-value for 0.95 p-value ( one-tailed) =1.645
So,
Hence, the running time should at least 119.32 seconds to be in the top 5% of runners.
The first one is 4•7 I believe
Answer:
As of February 2022, South Africa has played 449 Test matches resulting in 171 victories, 154 defeats and 124 draws for an overall winning percentage of 38.08. Statistics are correct as of South Africa v New Zealand at Hagley Oval, 1st Test, 17-19 February 2022.
Format
The way that something appears or is set out.