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nata0808 [166]
2 years ago
13

A pediatricians office tracks the age (in months) in which 25 babies begin to walk. Use the dot plot at the right to answer the

questions below. I Added the picture below please help.

Mathematics
2 answers:
OLEGan [10]2 years ago
3 0

Answer:

A pediatricians office tracks the age (in months) in which 25 babies begin to walk

DENIUS [597]2 years ago
3 0
1. 19 babies could walk before 13 months
2. 48% of babies could walk at 12 months
3. 9, 10, and 17 combined make up less than 16%
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40.1% probability that he will miss at least one of them

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For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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0.95 probaiblity of hitting a target

This means that p = 0.95

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This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

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P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

40.1% probability that he will miss at least one of them

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