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bekas [8.4K]
3 years ago
13

Can someone help please ?

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month

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Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are in
aleksandrvk [35]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

E(X)=np=4\cdot0.25=1

6 0
3 years ago
The product of 4 and a number is 52. find the number.
Eddi Din [679]
Let the number be x, then 4x = 52
Therefore, x = 52/4 = 13
4 0
4 years ago
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