Expect the quantity of actual harm misfortunes for houses because of tropical storm Irma in Barbuda is ordinarily dispersed with a mean of 400 and a standard deviation of 80. What is the likelihood that:

a. In excess of 440 misfortunes will happen

b. Somewhere in the range of 320 and 480 misfortunes will happen

c. Somewhere in the range of 460 and 520 misfortunes will happen

d. In the event that the likelihood of misfortunes among 400 and an example is 39.97%

(I) what is the estimation of the case

(ii) what is the likelihood of misfortunes over the occasion

300 buyers were reviewed about another brand of nibble food, Crunchicles. Their age gatherings and inclinations are given in the table.

18-24

25-34

35-55

55 and over

Absolute

Preferred Crunchicles

1

5

1

15

22

Despised Crunchicles

15

8

3

23

49

No Preference

43

35

70

81

229

Absolute

59

48

74

119

300

One buyer from the review is chosen aimlessly. Utilize decreased portions for your reactions to every one of the accompanying inquiries.

What is the likelihood that the shopper is 18-24 years old, given that he/she disdains Crunchicles?

What is the likelihood that the chosen customer disdains Crunchicles?

What is the likelihood that the chosen buyer is 35-55 years of age or likes Crunchicles?

On the off chance that the chose buyer is 70 years of age, what is the likelihood that he/she prefers Crunchicles?

The life expectancy of 100 W lights fabricated by an organization is tried. It is tracked down that (8 %) of the lights are dismissed. An irregular example of 15 bulbs is taken from stock and tried. The arbitrary variable X is the quantity of bulbs that are dismissed.

a. Give four reasons why ? will have a binomial circulation.

b. Utilize a recipe to discover the likelihood that 2 lights in the example are dismissed.

c. In the event that the genuine likelihood of a dismissed light is 0.5340. Among the following 6 haphazardly chose bulbs, what is the likelihood that at any rate one of them is acknowledged?

d. On the off chance that the life expectancy of lights is changed so the mean currently is ?. Discover the estimation of ?:

I. Given that ?(?=0)=0.25.

ii. Given that the fluctuation of ? is 2.4.

=26=

The weight, in kilograms, of oat in a container, can be displayed by a typical circulation with Mean ? also, a standard deviation of 5.4 kg. Given that 10% of boxes contain under 18 kg. Find.

a. The estimation of ?.

b. The level of boxes that contain more than (18+4) kg.

c. In the event that the machine settings are changed so the heaviness of oat in a crate is typically dispersed with mean (18+3) kg and standard deviation of ?. Given that the likelihood of boxes contains between 18 kg and (18+6) kg is 0.9671, discover the estimation of ?.