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Nady [450]
2 years ago
7

Alita is on the track team and loves to run. On

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0
5.6 is the answer to this question
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Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

6 0
3 years ago
If the sum of three consecutive numbers is 852, what is the middle one?
denis-greek [22]

Divide the total by the quantity of numbers:

852/3 = 284

Because there are an odd quantity of numbers (3) the answer is the middle number.

The answer is 284

5 0
3 years ago
If elephant grass grows 2 1/3 inches a day, how many inches will it grow in 8 days?
geniusboy [140]

2 1/3 * 8 = 16 8/3 or 18 2/3 inches in 8 days.

8 0
3 years ago
Read 2 more answers
The heights of American men aged 18 to 24 are approximately normally distributed with mean 68 inches and standard deviation 2.5
MissTica

Answer:

78.81

Step-by-step explanation:

6 0
3 years ago
Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
mamaluj [8]

Answer:

8.25 Gallons

Step-by-step explanation:

2.75 gallons * 3 minutes = 8.25 gallons

6 0
2 years ago
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