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jolli1
15 days ago
15

An insurance company insures red and green cars. An actuary compiles the following data: Color of car Red Green Number insured 3

00 700 Probability an accident occurs 0.10 0.05 Probability that the claim exceeds the deductible, given an accident occurs from this group 0.90 0.80 The actuary randomly picks a claim from all claims that exceed the deductible. Calculate the probability that the claim is on a red car.
Mathematics
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Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra
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Answer:

The first fraction comes between 27 and 28, leaning towards 28. The second fraction lies between 3 and 4, leaning towards 4. Compatible numbers in division consist of figures that are simple to calculate mentally. 28 divided by 4 results in 7. The estimated quotient will be approximately 7.

Step-by-step explanation:

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Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
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The question appears to be incomplete. Here’s the complete inquiry:

Samir is quite skilled with the gun. When he targets a specific aim at the shooting range, he has a 0.95 probability of striking it. On one occasion, Samir sets out to shoot 10 targets consecutively.

If he has the same chance of hitting each of the 10 targets, what is the likelihood that he will miss at least one?

Response:

40.13%

Step-by-step breakdown:

Let 'A' represent the event of successfully hitting all targets in 10 trials.

The complement of 'A' is \overline A=\textrm{Missing a target at least once}

Now, since Samir has a consistent probability of hitting each target at 0.95.

Now, P(A)=0.95^{10}=0.5987

We know that the combined probability of an event and its complement equals 1.

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Consequently, the probability that he misses at least one target among 10 attempts is 40.13%.

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\cos (\alpha)=\frac{4}{2\sqrt{5} }=\frac{2}{\sqrt{5} } along with the shorter leg of the second triangle denoted as s units. Furthermore, we apply the double angle property and substitute values to arrive at the final calculation.

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