In March for every 2 days it rained out of 5 days. A total of 30 days were calculated, How many days did it rain?

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

Estelle treated her sister to lunch while visiting her in Lowell. Their lunch cost $80, and the sales tax in Lowell is 15%. If E

yan [13]

Answer:

Estelle paid $104 in total.

Step-by-step explanation:

15% of $80.00 is 12. So add 12 two times to 80 because of 15% sales tax and 15% tip.

3 0

3 years ago

Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below.

Pani-rosa [81]

The statements which are true regarding the students whose results on 9 tests are as shown are; The median of Nadia's data is equal to the median of Ben's data.

Nadia had the highest score on a test.

<h3>Which statements are true regarding the scores on the tests?</h3>

According to the task content, it follows that the results of the students in discuss are indicated by means of a box plot as in the attached image.

Consequently, it follows from observation that the median of Nadia and Ben as indicated in the attached box plot is 92 in both cases as indicated by the vertical line in both boxes.

Additionally, the highest score by Nadia is 100 while that for Ben is; 99.

Hence, Nadia had the highest score on a test.

Read more on median in box plots;

brainly.com/question/14277132

#SPJ1

4 0

2 years ago

Anthony and Michelle have £65.25 between them. Anthony's amount is two thirds of Michelle's amount. How much money does each hav

pogonyaev

Answer:

43.50

Step-by-step explanation:

MULTIPLE THE 2 NUMBERS

7 0

2 years ago

Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and

yKpoI14uk [10]

Answer:

Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts

Step-by-step explanation:

Hope this helped:)

5 0

3 years ago