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marusya05 [52]
3 years ago
5

For a binomial probability distribution, it is unusual for the number of successes to be less than μ − 2.5σ or greater than μ +

2.5σ. (a) For a binomial experiment with 10 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Explain
Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

no of success deemed to be usual 5

that is more than 5 success unusual

Step-by-step explanation:

Given data

number of successes  = less than μ − 2.5σ

number of successes  = greater than μ + 2.5σ

trials n  = 10

probability single trial = 0.2

to find out

is it unusual to have more than five successes

solution

we can say that

mean of the binomial, distribution that is

mean =  probability single trial × trials n

mean =  10 × .2

mean = 2

and standard deviation = √(mean× (1-probability))

standard deviation = √2× (1-0.2))

standard deviation = 1.2649

so no of successes are

= μ − 2.5σ                 and           = μ + 2.5σ

= 2 − 2.5(1.2649)      and           = 2 + 2.5(1.2649)

= -0.16225                and           = 5.16225

so now we say no of success deemed to be usual 5

that is more than 5 success unusual here

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Now, you will consider Option 1, setting a maximum shower time of 10 minutes.
matrenka [14]

The maximum shower time is an illustration of mean and median, and the conclusion is to disagree with Blake's claim

<h3>How to interpret the shower time?</h3>

The question is incomplete, as the dataset (and the data elements) are not given.

So, I will answer this question using the following (assumed) dataset:

Shower time (in minutes): 6, 7, 7, 8, 8, 9, 9, 9, 12, 12, 12, 13, 15,

Calculate the mean:

Mean = Sum/Count

So, we have:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 12+ 12+ 12+ 13+ 15)/13

Mean = 9.8

The median is the middle element.

So, we have:

Median = 9

From the question, we have the following assumptions:

  • The shower time of students whose shower times are above 10 minutes, is 10 minutes
  • Other shower time remains unchanged.

So, the dataset becomes: 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10

The mean is:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 10+ 10+ 10+ 10+ 10)/13

Mean = 8.7

The median is the middle element.

So, we have:

Median = 9

From the above computation, we have the following table:

               Initial    Final

Mean         9.8        8.7

Median       9         9

Notice that the mean value changed, but it did not go below 8 as claimed by Blake; while the median remains unchanged.

Hence, the conclusion is to disagree with Blake's claim

Read more about mean and median at:

brainly.com/question/14532771

#SPJ1

5 0
2 years ago
99 X 99 X 99 / 9 - 99 /99 PLEASE EXPLAIN ;)
charle [14.2K]

Answer:

107810

Step-by-step explanation:

You can use the order of operations! So we start with 99^3/9. That is 99^2*11. So now let’s do 99/99, it’s 1. So 99^2*11 is 107811, so the answer is 107810.

8 0
3 years ago
Read 2 more answers
Nate and Maya are building model cars. Maya's car is 3 inches less than 2 times the length of Nate's car. The sum of the lengths
Leni [432]

Answer:

Option D.) x + 2x − 3 = 26

Step-by-step explanation:

Let

x ------> the length of Nate's car

y ------> the length of Maya's car

we know that

x+y=26 -----> equation A

y=2x-3 ----> equation B

substitute equation B in equation A and solve for x

x+(2x-3)=26

3x=26+3

x=29/3 in

Find the value of y

y=2(29/3)-3

y=(58/3)-3

y= 49/3 in

4 0
3 years ago
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Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equat
Solnce55 [7]

Answer:

Equation is x+\frac{16}{3}=\frac{15}{2} where x denotes number of cups of orange juice needed by Sam.

x=\frac{13}{6}

Step-by-step explanation:

Let x denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch =7\frac{1}{2} =\frac{15}{2}

Number of cups with Sam =5\frac{1}{3}=\frac{16}{3}

Therefore,

x+\frac{16}{3}=\frac{15}{2}\\\\x=  \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}

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Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4
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Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

6 0
2 years ago
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