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Grace [21]
3 years ago
8

Assume that when adults with smartphones are randomly​ selected, 46​% use them in meetings or classes. If 9 adult smartphone use

rs are randomly​ selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Mathematics
1 answer:
MArishka [77]3 years ago
8 0

Answer:

0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.

Step-by-step explanation:

We are given the following information:

We treat adult using smartphones in meetings or classes as a success.

P(Adult using smartphone) = 46% = 0.46

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

We have to evaluate:

P(x = 3)\\\\= \binom{9}{3}(0.46)^3(1-0.46)^6\\\\= 0.2027

0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.

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How you use the Pythagorean theorem in 3D.
Olin [163]

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

4 0
3 years ago
Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a
dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 145, p = 0.61

So

\mu = E(X) = np = 145*0.61 = 88.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

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

Z = \frac{95 - 88.45}{5.87}

Z = 1.115

Z = 1.115 has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0
2 years ago
Marjorie wrote the fraction 7/10 as a fraction with a denominator of 100. She wrote the fraction as a decimal. Find and correct
Tatiana [17]
It would be 70/100 because you are multiplying the denominator by 10 which equals 100 so you must do the same to the other side which would be 70. There fore the decimal would be 0.70.
3 0
3 years ago
What is the product of -5/12 and -1/5
slavikrds [6]

Answer: 1/12

Step-by-step explanation: If you multiply the two factors, you would technically get -1/12, but since there are 2 -'s -*-=+

6 0
3 years ago
Mrs Sims cut a melon into fifths. She gave 1 piece to each of her four children.She used equal amounts of leftover melon to make
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the answer is one fifth

5 0
3 years ago
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