The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

Mathematics

1 answer:

antiseptic1488 [7]1 year ago

5 0

Answer:

b. False

Step-by-step explanation:

The binomial distribution model allows us to compute the probability of successes when the process is repeated a specific number of times.

The binomial distribution model is given as;

$P(X) = \frac{n_!}{x! (n-x)!} P^x (1-P)^{(n-x)}$

n is the number of times the process is repeated,

x is the the number of successes,

p is the occurrence of the outcome of interest,

Thus, the probability of elapsed time is best determined with Exponential distribution.

Thus, the correct option is "b"

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Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.

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Answer:

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Step-by-step explanation:

a)The pressure at which will trigger a warning is

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b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

$f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}$

where x = 22.94, $\mu = 31, \sigma = 2$

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Let x - hours Carlos drove ; Let y - hours Maria drove

Equation 1: x + y = 4.4
x = 4.4 - y

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To find time Carlos drove:
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