Different dealers may sell the same card for different prices. The sale prices for a particular cars are normally distributed with a mean and standard deviation of $26,000 in $2000, respectively. Suppose we select one of these cars at random. X represent the sale price for the selected car. Find P(X<30)

0.9772 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $26,000

Standard Deviation, σ = $2000

We are given that the distribution of  sale price is a bell shaped distribution that is a normal distribution.

Formula:

P(x < 30,000)

Calculation the value from standard normal z table, we have,  

Thus, 0.9772 is the required probability.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.