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2 years ago

55% of college freshmen are women. If you pick 4 freshmen at random. What's the probability they are all males?

Mathematics

1 answer:

weqwewe [10]2 years ago

7 0

probability they are all males is 0.041

Step-by-step explanation:

Here we have , 55% of college freshmen are women. If you pick 4 freshmen at random . We need to find What's the probability they are all males . Let's find out:

Probability to have women is 55 % i.e. 0.55 so for men is :

⇒ $1-0.55$

⇒ $0.45$

Now , 4 persons are randomly chosen and we need to find probability to have all 4 males that will be :

⇒ $0.45(0.45)(0.45)(0.45)$

⇒ $0.45^4$

⇒ $0.041$

Therefore , probability they are all males is 0.041

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Step-by-step explanation:

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2 years ago

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2 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$