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ra1l [238]
3 years ago
10

The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a

nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes.
A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?
Mathematics
1 answer:
saul85 [17]3 years ago
6 0

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that x \sim U(90, 120)

 In point a:

so, pdf of x =

\to f(x)= \frac{1}{120-90}  = \frac{1}{30} \\\\\to 90 < x

In point b:

To find

\to P(x

In point c:

\to P(x

In point d:

\to P(95< x< 110)

= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}

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Step-by-step explanation:

(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)

10/20 x 10/19 = 100/380

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Dajuan has 7 action movies, 6 comedies, 1 documentary, and 2 musicals in his DVD collection. What is the ratio of comedies to th
yaroslaw [1]

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7 0
3 years ago
Including 16% sales tax an item cost 348. What is the original price?
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Answer:

292.32

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7 0
3 years ago
Raina ran for president of the chess club, and she received 76 votes. There were 80 members in the club. What percentage of the
lesantik [10]

Answer:

vr = 95%

Step-by-step explanation:

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5 0
3 years ago
Suppose you invest $16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?
kramer

Answer:

The amount after 8 years is $ 16,031.579

Step-by-step explanation:

Given as :

The Principal invested = $ 16000

The rate of interest compounded daily = 9 %

The time period = 8 years

Let The amount after 8 years = $ A

<u>From Compounded method </u>

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∴  Amount = $ 16,031.579

Hence The amount after 8 years is $ 16,031.579   Answer

4 0
3 years ago
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