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2 years ago

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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

r, let X = the number of months between successive payments. The cdf of X is as follows: F(x) =0 - x < 10.33 - 1 < x < 30.44 - 3 < x < 40.48 - 4 < x < 60.86 - 6 < x < 121 - 12 < xa. What is the pmf of X? x 1 3 4 6 12p(x)b. Using just the cdf, compute P(3 ≤ X ≤ 6) and P(4 ≤ X).P(3 < X < 6) =P(4 < X) =

1 answer:

kherson [118]2 years ago

4 0

Answer:

Step-by-step explanation:

Given that X is the number of months between successive payments

Cumulative distribution function of X is

$F(x) =0, x$

a) PMF of x would be

$P(x) =0, x$

b) $P(3 ≤ X ≤ 6) =0.86-0.44=0.42\\ P(4 ≤ X)=1-0.44=0.56\\P(3 < X < 6) =0.6\\P(4 < X) =1-0.48=0.52$

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2 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Marizza181 [45]

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63 books per capita in the library

<em></em>

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<em>There are 63 books per capita in the library</em>

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3 years ago

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Answer and Step-by-step explanation:

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This is the answer.

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2 years ago

Read 2 more answers

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sammy [17]

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2 years ago

2. Find the general relation of the equation cos3A+cos5A=0

mars1129 [50]

<h2>Answer:</h2>

$A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi$

<h2>Step-by-step explanation:</h2>

<h3>Find angles</h3>

$cos3A+cos5A=0$

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<h3>Transform the expression using the sum-to-product formula</h3>

$2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0$

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<h3>Combine like terms</h3>

$2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

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<h3>Divide both sides of the equation by the coefficient of variable</h3>

$cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

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<h3>Apply zero product property that at least one factor is zero</h3>

$cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0$

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<h2>Cos (8A/2) = 0:</h2>

<h3>Cross out the common factor</h3>

$cos\ 4A=0$

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<h3>Solve the trigonometric equation to find a particular solution</h3>

$4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}$

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<h3>Solve the trigonometric equation to find a general solution</h3>

$4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}$

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<h2>cos(-2A/2) = 0</h2>

<h3>Reduce the fraction</h3>

$cos(-A)=0$

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<h3>Simplify the expression using the symmetry of trigonometric function</h3>

$cosA=0$

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<h3>Solve the trigonometric equation to find a particular solution</h3>

$A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}$

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<h3>Solve the trigonometric equation to find a general solution</h3>

$A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z$

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<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{2}+n\pi$

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<h2>A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ Z</h2>

<h3>Find the union of solution sets</h3>

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<em>I hope this helps you</em>

<em>:)</em>

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2 years ago