In one of Gregor Mendel's experiments he grew 929 pea plants of which 705 were purple-flowering.
Mendel's model was that each plant has chance 75% of being purple-flowering independently of other plants.
A Data 8 students simulates the following experiment 10,000 times:
O Count the number of successes in 929 i. i.d. success/failure trials each of which has success probability 0.75
Let X be the number of simulations in which the observed count of successes is at least 705.
1. In each part below, use a code cell to find numerical values that you can't easily find by hand.
a) Find the distribution of X. If it is one of the famous ones, just provide its name and parameters.
b) Find E(X).
c) Find SD(X).

40% off the regular price is the correct answer.

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.