2/6+5/6 as a whole number

Mathematics

2 answers:

Ksju [112]1 year ago

8 0

Answer:

1.16

Step-by-step explanation:

Dvinal [7]1 year ago

4 0

Answer: 2/6+5/6 + 1.167

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In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi

tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

$P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187$