The line that is most likely to have a slope of 10 is the second one down
Answer:
P(X 
74) = 0.3707
Step-by-step explanation:
We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.
Let X = Score of golfers
So, X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 73
= standard deviation = 3
So, the probability that the score of golfer is at least 74 is given by = P(X 74)
P(X 74) = P( 
) = P(Z 0.33) = 1 - P(Z < 0.33)
= 1 - 0.62930 = 0.3707
Therefore, the probability that the score of golfer is at least 74 is 0.3707 .
Answer:
0.03333
Step-by-step explanation:
Given that there are three machines. All of the machines can produce 1000 pins at a time.
Chance for any machine is thus equaly likely = 1/3
The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.
Machine I II III total
Faulty 0.10 0.20 0.05
Prob 0.3333 0.3333 0.3334 1
Faulty*prob 0.03333 0.06666 0.16665 0.26664
Thus probability that a produced pin will be faulty and it will be from the firstmachine
= 0.03333
X = cos(pi/6) = √3/2
y = sin(pi/6) = 1/2
So at point (√3/2, 1/2)
