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3 years ago

A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Answer:

.52

Step-by-step explanation:

its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52

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After making payments of $919.10 for 8 years on your 30-year loan at 8.1%, you decide to sell your home. What is the loan payoff

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Step-by-step explanation:

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2 years ago

Please help this is already late

GaryK [48]

Answer:

C = 132°

Step-by-step explanation:

(5y + 28) = 12y

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3 years ago

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Answer:

$P(8 < x \leq 12)=P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(15C9)(0.8)^{9} (1-0.8)^{15-9}=0.0429$

$P(X=10)=(15C10)(0.8)^{10} (1-0.8)^{15-10}=0.1032$

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=1-0.2=0.8)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(8 < x \leq 12)=P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(15C9)(0.8)^{9} (1-0.8)^{15-9}=0.0429$

$P(X=10)=(15C10)(0.8)^{10} (1-0.8)^{15-10}=0.1032$

$P(X=11)=(15C11)(0.8)^{11} (1-0.8)^{15-11}=0.1878$

$P(X=12)=(15C12)(0.8)^{12} (1-0.8)^{15-12}=0.2501$

$P(8 < x \leq 12)=0.0429+0.1032+0.1878 +0.2501=0.5839$

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3 years ago

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