An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.96 and 0.87. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x = number of components that meet specifications. round your answers to four decimal places (e. g. 98.7654).

Step-by-step explanation:

Given that an assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.96 and 0.87.

Also  the components are independent

If X - the number of components in the assembly that meet specifications, then we have x can take values as 0,1,2

P(X=0) = P(no component meets speficiations) =

P(X=1) =P(either machine works with other machine not)

=

P(x=2) = P(AB)=

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.