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3 years ago

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there are 5 green marbles, 4 red marbles, and 3 yellow marbles in a bag. John selects a marble at random, keeps it, and then sel

ects another marble at random. determine the possibility that two green marbles are chosen.

1 answer:

Daniel [21]3 years ago

3 0

Answer:

1/22

Step-by-step explanation:

12 total marbles
5/12 - 1/1 = 4/11
4/11 - 1/1 = 3/10
5/12 × 4/11 × 3/10 = 1/22

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We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

$\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47$

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes. $z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447$

We need to find the probability such that $P(x>30)=P(z>0.447)=0.67$

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

$z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0$

$P(x>30)=P(z>0)=0.5$

Therefore, probability will be 0.50.

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Factor using the AC method...

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3 years ago

Which two numbers add up to 24 and multiply to -240?

posledela

Answer:

tôi không hiểu bạn nói gì

Step-by-step explanat ion :

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First of all we have to arrange the data in ascending order as shown below:

28, 40, 43, 43, 45, 50, 50

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Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
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