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AlexFokin [52]
3 years ago
6

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 15 minute

s. What is the probability that it takes Isabella more than 11 minutes to wait for the bus?
Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformly distributed between 3 minutes and 15 minutes:

So a = 3, b = 15

What is the probability that it takes Isabella more than 11 minutes to wait for the bus?

Either she has to wait 11 or less minutes for the bus, or she has to wait more than 11 minutes. The sum of these probabilities is 1. So

P(X \leq 11) + P(X > 11) = 1

We want P(X > 11). So

P(X > 11) = 1 - P(X \leq 11) = 1 - \frac{11 - 3}{15 - 3} = 0.3333

33.33% probability that it takes Isabella more than 11 minutes to wait for the bus

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1 basket is between 9 and 10 minutes .

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

Here we have , John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made.  We need to find How many baskets were made between 9 and 10 minutes . Let's find out:

In order to calculate baskets between 9 min and 10 min we will find baskets at 10 min and at at 9 min , will subtract than !

Baskets at 10 min :

At 4 min we have 5 baskets so , in 10 min

⇒ (10)\frac{5}{4}

⇒ 1.25(10)

⇒ 12.5

Baskets at 9 min :

At 4 min we have 5 baskets so , in 9 min

⇒ (9)\frac{5}{4}

⇒ 1.25(9)

⇒ 11.25

So , Baskets between 10 & 9 min is 12.5-11.25=1.25 , which on rounding off gives 1 . Therefore , 1 basket is between 9 and 10 minutes .

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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