The score on a test from a specific MAT 112 class, X, is regularly circulated with =81.2 and =10.

NOTE: Assume for this issue that the score is a consistent variable. A score would thus be able to take on any worth on the continuum. (All things considered, scores are regularly treated as though they were consistent qualities yet are really discrete by and large.)

(a) Write the occasion ''a score under 69.2'' regarding X: .

(b) Find the likelihood of this occasion:

(c) Find the likelihood that a haphazardly picked score is more noteworthy than 88.7: .

(d) Find the likelihood that a haphazardly picked score is somewhere in the range of 69.2 and 88.7:

Accept that 12 hearers are haphazardly chosen from a populace in which 60% individuals are Mexican-Americans. Allude to the likelihood dispersion table underneath and discover the demonstrated probabilities.

Number of Mexican-Americans Probability

0 0

1 0.0003

2 0.0025

3 0.0125

4 0.042

5 0.1009

6 0.1766

7 0.227

8 0.2128

9 0.1419

10 0.0639

11 0.0174

12 0.0022

a) Find the likelihood of at most 4 Mexican-Americans among 12 hearers. Offer response as a decimal.

b) Find the likelihood of in excess of 4 Mexican-Americans among 12 hearers. Offer response as a decimal.

In 2018, the Pew Internet and American Life Project asked 743 teenagers matured 13 to 17 a few inquiries concerning their perspectives toward online media. The outcomes showed that 602 say online media causes them to feel more associated with what is happening in their companions' lives; 513 say web-based media assists them with collaborating with a more different gathering of individuals; and 275 feel strain to post substance that will get a great deal of preferences and remarks.

Round your responses to four decimal spots.

a. Build up a point gauge of the extent of adolescents matured 13 to 17 who say web-based media causes them to feel more associated with what is happening in their companions' lives.

b. Build up a point gauge of the extent of youngsters matured 13 to 17 who say web-based media assists them with associating with a more assorted gathering of individuals.

c. Build up a point gauge of the extent of adolescents matured 13 to 17 who feel strain to post substance that will get a great deal of preferences and remarks.

An investigation was directed to decide if there were huge contrasts between clinical understudies conceded through unique projects, (for example, maintenance motivating force and ensured situation projects) and clinical understudies conceded through the ordinary affirmations standards. It was tracked down that the graduation rate was 90.2% for the clinical understudies conceded through unique projects. Make certain to enter in any event 4 digits of precision for this issue!

On the off chance that 9 of the understudies from the extraordinary projects are haphazardly chosen, discover the likelihood that in any event 8 of them graduated.

P(at least 8) =

In any event 4 digits!

In the event that 9 of the understudies from the extraordinary projects are arbitrarily chosen, discover the likelihood that precisely 6 of them graduated.

P(exactly 6) =

At any rate 4 digits!

Would it be uncommon to haphazardly choose 9 understudies from the unique projects and get precisely 6 that graduate?

no, it isn't uncommon

indeed, it is uncommon