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valentina_108 [34]
3 years ago
10

Can someone help me on this? IN NEED OF HELP!

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

1.14226% decrease

Step-by-step explanation:

nearest to the would be a 1.1423 % decrease

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Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
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