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2 years ago

The number of books read in each week of a month are 4, 6, 8, and 5. What is the range?

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

8 0

Answer:

range = 4

Step-by-step explanation:

the range is the difference between the highest and lowest value in a set of numbers.

hv - lv = 8 - 4

= 4

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Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$

The probability associated to a failure would be p =1-0.09 = 0.91

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

6 0

3 years ago

Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, th

LuckyWell [14K]

Answer:

Step-by-step explanation:

Given that Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that each of their offspring will develop the disease is approximately 0.25.

Let X be the no of children having this disease out of 4 occasions

Then X has two outcomes and each trial is independent of the other trial

Hence X is binomial with n =4, and p = 0.25

a) $P(X=4) = 4C4 (0.25)^4 = 0.003906$

b) $P(X=1) = 4C1 (0.25)(0.75)^3\\= 0.4219$

c) $P(4th child/3 children did not) = 0.25$ since independent.

4 0

3 years ago

I’m confused how do you know where to put the plus and minus signs when rearranging the equation?

IRINA_888 [86]

-5/12k +29/36m is simplified

7 0

3 years ago

Julia has 8 red barrettes 2/4 of her barrettes are red how many barrettes does Julia have

kipiarov [429]

Answer:16

Step-by-step explanation:

2/4 = 1/2

8+8=16

4 0

2 years ago

The width of a rectangle is 2 inches less than its length. If the perimeter of the rectangle is 96 inches, what is its width?

Hatshy [7]

Answer:

Step-by-step explanation:

a) Perimeter of a rectangle = 2 *(L +w)

b) w = L - 2

Answer: B

c) Perimeter = 96 inches

2* (l +w) = 96

2*( L + L - 2 ) = 96 {Combine like terms}

2 * (2L - 2) = 96 {use distributive law}

2*2L - 2*2 = 96

4L - 4 = 96 {Add 4 to both sides}

4L = 96 +4

4L = 100 {divide both sides by 4}

4L/4 = 100/4

L = 25 inches

d) w = L - 2

= 25 - 2

w = 23 inches

4 0

3 years ago