A bike wheel with a diameter of 14 inches makes 100 rotations. How far does the bike go?

In a survey, three out of four students said that courts show too much concern for criminals. Of seventy randomly selected stude

vladimir1956 [14]

Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that $p = \frac{3}{4} = 0.75$

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find $P(X \geq 68)$ .

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001$

$P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001$

$P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001$

So

$P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003$

$P(X \geq 68)$ is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0

3 years ago

What is 16.24 divided by 0.14

hammer [34]

16.24 divided by 0.14 equals 116 i hope this helps if not sorry :)

4 0

3 years ago

Read 2 more answers

these cards are put int a bag. One card is chosen at random. (1,2,3,4,5,6,7,8,9,10) a.) what is the probability of choosing the

Rama09 [41]

Answer:

There are 10 cards in total.

The probability of choosing card with the number 4 is 1/10.

The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)

5 0

3 years ago

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A package of 5 pairs of gloves costs $ 75.5 what is the cost of a single pair of gloves

zhenek [66]

5 pairs of gloves, two gloves per pair, so we have 10 gloves.

If the entire pack cost $29.45, we divide that by 10 to determine the cost of a single glove:

$29.45 ÷ 10 = $2.945 which rounds to $2.95 per glove.

6 0

2 years ago

Please help me <br>is importe

astra-53 [7]

Answer:

A, B, C, D, E. there all greater than 2 and 5/6 because they all show 2 5/6 and they times somthing by that. Hope this helps! and maybe a Brainlest?

Step-by-step explanation:

7 0

3 years ago