What is the area of the rectangle above?

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

I need help writing the equations for these word problems, and maybe an explanation on how to write equations? I have a lot of t

TEA [102]

I hope this helps good luck

8 0

3 years ago

There are 40 students in a class.Girls make up 60%of the class.25% of girls wear glasses.How many girls in the class wear glasse

Stells [14]

Answer:

12

Step-by-step explanation:

40 times 0.6 is 24. 24 times .25 is 12

4 0

2 years ago

james spent half his weekly allowance on candy. to earn more money his parents let him wash the dog for 10$. what is his weekly

photoshop1234 [79]

He spent half of his allowance. HALF

he washed a dog for $10

17-10=7

Since he spent exactly half you add the same number.

so $7 + $7+ $14

His weekly allowance is $14.

5 0

3 years ago

Which of the following Has a value of 8(4) A) 4,096 B)32 C)83 D)512

RSB [31]

B)32

8(4) means to multiply 8 and 4. 8 x 4 = 32

8 0

3 years ago

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