A year ago Githunguri Dairies chose to enter the yogurt market, and it started warily by delivering, circulating, and advertising a solitary flavora blueberry-enhanced yogurt that it calls Smooth. The organization's underlying endeavor into the yogurt market has been effective; deals of Smooth are higher than anticipated, and buyers' appraisals of the item have a mean of 80 and a standard deviation of 25 on a 100-point scale for which 100 is the most great score and zero is the most un-good score. Past experience has likewise shown Githunguri Dairies that a purchaser who rates one of its items with a score more prominent than 75 on this scale will think about buying the item, and a score of 75 or less demonstrates that the customer won't think about buying the item.

Encouraged by the achievement and fame of its blueberry-enhanced yogurt, Githunguri Dairies the board is presently thinking about the presentation of a subsequent flavor. Githunguri's showcasing office is squeezing to expand the product offering through the presentation of a strawberry-enhanced yogurt that would be called Energy, however ranking directors are worried about whether Energy will build Githunguri's piece of the pie by speaking to potential clients who don't care for Smooth. That is, the objective in offering the new item is to expand the piece of the overall industry as opposed to rip apart existing deals of Smooth. The advertising division has proposed giving preferences of both Smooth and Energy to a basic arbitrary example of 50 clients and requesting each from them to rate the two yogurts on the 100-point scale. On the off chance that the mean score given to Smooth by this example of buyers is 75 or less, Githunguri's senior administration accepts the example can be utilized to survey whether Energy will engage potential clients who don't care for Smooth.

Figure the likelihood that the mean score of Smooth given by the straightforward irregular example of Githunguri Dairies clients will be 75 or less.

In the event that the Marketing Department builds the example size to 150, what is the likelihood that the mean score of Smooth given by the straightforward irregular example of Githunguri Dairies clients will be 75 or less?

Disclose to Githunguri Dairies senior administration why the likelihood that the mean score of Smooth given by the basic arbitrary example of Githunguri Dairies clients will be 75 or less varies for these two example sizes.

A vehicle plant produces vehicles in 4 unique tones, and these tones are blue, yellow, white and red, and find that of all vehicles 20%,35%,15% and 30%, individually, fall into these classifications. The processing plant additionally found that its vehicles sold were by 10% of yellow vehicles, by 6% red vehicles, by 15% white vehicles and by 8% blue vehicles.

a)Define the occasions and show the given probabilities?

b)What is the likelihood that vehicle a deal by shading?

c)What is the likelihood that produce yellow vehicle will be made to vehicle deal by shading

Tire pressure observing frameworks (TPMS) caution the driver when the tire pressing factor of the vehicle is 27% beneath the objective pressing factor. Assume the objective tire pressing factor of a specific vehicle is 31 psi (pounds per square inch.)

(a) At what psi will the TPMS trigger an admonition for this vehicle? (Round your response to 2 decimal spot.)

At the point when the tire pressure is underneath 22.63 psi.

"14"

(b) Suppose tire pressure is a regularly conveyed arbitrary variable with a standard deviation equivalent to 3 psi. On the off chance that the vehicle's normal tire pressure is on track, what is the likelihood that the TPMS will trigger an admonition? (Round your response to 4 decimal spots.)

Likelihood .0026

(c) The producer's suggested right expansion range is 29 psi to 33 psi. Accept the tires' normal psi is on track. In the event that a tire on the vehicle is investigated aimlessly, what is the likelihood that the tire's swelling is inside the suggested range? (Round your transitional computations and last response to 4 decimal spots.)

Likelihood _______