The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan
Answer:
0.6 probability that 
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x is between -2 and 2.
Between -2 and 2, inclusive, we have -2, 0 and 2. So

From the table:
. So

0.6 probability that 
Answer:
50.5 degrees
Step-by-step explanation:
Since this is a parallelogram then...
Angle U + Angle R = 180
3x+4+9x-10=180
Combine like terms
12x-6=180
Add 6 to both sides
12x=186
Divide both sides by 12
x=15.5
Now we plug 15.5 in for x to find Angle U
3(15.5)4=46.5+4=50.5
Angle U = 50.5 degrees
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let
= <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
Answer:
10 miles
Step-by-step explanation:
Answer:
The probability that the counter was blue is 
Step-by-step explanation:
Number of black Counters = 5
Number of blue Counters = 4
Number of white Counters = 1
We need to write down the probability that the counter was blue.
First find Total Counters
Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters
Total Counters = 5+4+1
Total Counters = 10
Now, we need to find probability that the counter taken was blue
The formula used is:

There are 4 blue counters in the back, so Favourable outcomes = 4

The probability that the counter was blue is 