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lions [1.4K]
3 years ago
6

A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens? 0.31

25 0.500 0.8125 0.2500
Mathematics
2 answers:
Naddik [55]3 years ago
8 0

Answer:

Probability of 3 or less = 0.8125.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(0 females) =  5C0(1/2)^5 = 0.03125

Prob(1 female) = 5C1 (1/2)^5 = 0.15625

Prob(2 females) = 5C2(1/2)^5 = 0.3125

Prob(3 females) = 5C3(1/2)^5 = 0.3125

Adding these we get 0.8125.

Dennis_Churaev [7]3 years ago
6 0

Answer:

WHAT IS THIS QUESTION AHHH BUT 03125

Step-by-step explanation:

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svetoff [14.1K]

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Answer:

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Step-by-step explanation:

The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.

The 3 ratio units representing boys will stand for 3×4 = 12 boys.

The 5 ratio units representing girls will stand for 5×4 = 20 girls.

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<em>Additional comment</em>

I find the above solution to be the easiest.

You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.

  b/g = 3/5

  b +g = 32

Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:

  b = (3/5)g

  (3/5)g +g = 32

  8/5g = 32 . . . . . . . . . . . . . . . . . collect terms

  g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8

  b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g

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