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cricket20 [7]
3 years ago
14

he table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 o

r more books being sold on a given day? number of books sold in a day 0-5 6-10 11-15 16-20 21-25 probability 0.110 0.206 0.464 0.201 ? 0.220 0.201 0.464 0.019
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0
16 or more books sold in a day will include two intervals from the given table:

a) 16 - 20 books sold.
Probability = 0.201

b) 21 - 25 books sold.
Probability = ?

Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019

In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.

So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220
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If you’re trying to find x, x = 3.
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Joe is placing tile in a small rectangular room. The room measures 8 feet by 5.5 feet. If one square foot tiles are sold in pack
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This gives:

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How can the decimal 0.57 be written as a fraction
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Read 2 more answers
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

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.

In this question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

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We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

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93.64m to metres and centimetres
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Answer: 9,364cm

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