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Gnesinka [82]
3 years ago
15

In a survey at a local college, 18% of students reported that they do not own a mobile device with internet capabilities. if 20

students are selected at random, find the probability that at most 5 students don't own a mobile device with internet capabilities.
Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

0.64

Step-by-step explanation:

The probability that randomly selected student doesn't own a mobile device with internet capabilities is p=0.18 and the probability that randomly selected student owns a mobile device with internet capabilities is q=1-p=1-0.18=0.82.

If 20 students are selected at random, the probability that at most 5 students (0 students, 1 student, 2 students, 3 students, 4 students or 5 students) don't own a mobile device with internet capabilities is

Pr=C_{20}^0p^0q^{20}+C_{20}^1p^1q^{19}+C_{20}^2p^2q^{18}+C_{20}^3p^3q^{17}+C_{20}^4p^4q^{16}+C_{20}^5p^5q^{15}=q^{20}+20pq^{19}+190p^2q^{18}+1,140p^3q^{17}+4,875p^4q^{16}+15,504p^5q^{15}\approx 0.6405021423\approx 0.64.

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victus00 [196]

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Step-by-step explanation:

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4 0
2 years ago
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

Step-by-step explanation:

Problems of normally distributed samples are 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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

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

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

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

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
3 years ago
Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?
adelina 88 [10]

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8  2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

7 0
3 years ago
What is the value of x, when 10(x + 2) = 5(x + 8)?
Studentka2010 [4]
The correct answer to this question is B
5 0
3 years ago
I really need someone to help me with this question ASAP.
ra1l [238]

Answer:

a=2, b=-20

Step-by-step explanation:

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4 0
3 years ago
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