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2 years ago

5

Elaine is in London for one day only. She only has time to see two shows of the three shows she likes. The shows are Hamilton, A

laddin and Thriller. She makes her choice of the two shows at random. What is the probability that she sees Aladdin and Thriller?

1 answer:

denis-greek [22]2 years ago

5 0

Answer:

$\frac 13$

Step-by-step explanation:

All three shows she likes are Hamilton, Aladdin, and Thriller.

But she can watch only two shows among the three shown.

The possible combination of the shows she can watch are

(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).

So, the total number of possible events (available options)= 3.

As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.

So, the number of favorable event=1

Now,

$\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}$

$=\frac{1}{3}$

Hence, the probability that she sees Aladdin and Thriller is $\frac 1 3$ .

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Answer:

$P(\bar X$

$P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

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And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})$

Solution to the problem

We want this probability:

$P(\bar X$

The best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

$P(\bar X$

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2 years ago

Leslie has 8pencils. She has 9 fewer pencils than Michelle. How many pencils does Michelle have?

sammy [17]

Answer:

<u>Michelle has 17 pencils</u>

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If Leslie has 8 and she has 9 fewer than Michelle, then:

Michelle has 9 more than Leslie

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Step-by-step explanation:

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2 years ago

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A circle with radius of \greenD{6\,\text{cm}}6cmstart color #1fab54, 6, start text, c, m, end text, end color #1fab54 sits insid

Diano4ka-milaya [45]

Answer: $141 cm^{2}$

Step-by-step explanation:

We have two circles:

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$A_{1}=\pi r^{2}$

And Cicle 2, with a radius $R=9 cm$ and area $A_{2}$ :

$A_{1}=\pi R^{2}$

Since Circle 1 is inside Circle 2 and assuming the area of the shaded region is the shown in the attached image, its area is:

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Finally:

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