The probability that a professional baseball player will get a hit is 1/3. Calculate the exact probability that he will get at l
1 answer:
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Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) = , a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 - = 1 -
=
= 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) = =
= 0.34375
P(X < 37) = =
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.
ANSWER TO QUESTION 1
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
}
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
}
and the set P also has elements
{
}
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
}
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
}
and
V={
}
P
V={2,4,6,8}
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram
The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.
These natural numbers are;
{
Therefore the correct answer is D
ANSWER TO QUESTION 2
Given that the universal set U has elements
{
and the set P also has elements
{
The elements of P' are the elements that are in the universal set but are not in set P.
These elements are;
{
The correct answer is C
ANSWER TO QUESTION 3
The distance is given by the absolute value equation
If the is 15 feet away then
This implies that;
We now split the absolute value sign to obtain,
or
We now solve for t to obtain;
or
or
This gives us
or
The correct answer is C
ANSWER TO QUESTION 4
Given
P={
and
V={
P
P\V are elements in P only .
This means that we have to take out the elements of the intersection of the two sets from P.
P\V ={0,1,3,5,5,7,9}
The correct answer is B
ANSWER TO QUESTION 5
The correct answer is B.
In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.
Blueberry is repeating in both sets but we have to list it once.
ANSWER TO QUESTION 6.
The correct answer is 220
We were told that 250 play basket ball
If 120 play both sports, then
250-120=130
play only basketball
Now the number of people who play only baseball
But the number of people who play baseball
see diagram
Answer:
a) Upper Control Limit = 0.10
Lower Control Limit = 0.01
b) The tech assistance process is stable and in control.
Step-by-step explanation:
Given - After a number of complaints about its tech assistance, a
computer manufacturer examined samples of calls to determine
the frequency of wrong advice given to callers. Each sample
consisted of 100 calls.
SAMPLE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Number of errors 5 3 5 7 4 6 8 4 5 9 3 4 5 6 6 7
To find - a. Determine 95 percent limits.
b. Is the tech assistance process stable (i.e., in control)
Proof -
z = 95% confidence interval
= 1.96
⇒z = 1.96
Proportion of defects,P = total defectives/total observations
= 0.0544
⇒P = 0.0544
Now,
Q = 1-P
= 0.9456
⇒Q = 0.9456
Now,
Average sample size, N = 100
Standard deviation =
= 0.0227
Now,
Upper Control Limit = P + z(Standard deviation)
= 0.0988
⇒Upper Control Limit = 0.0988 ≈ 0.10
And
Lower Control Limit = P - z(Standard deviation )
= 0.0099
⇒Lower Control Limit = 0.0099 ≈ 0.01
∴ we get
Upper Control Limit = 0.10
Lower Control Limit = 0.01
b.)
Now,
it is clear that the fraction defective values are wit in upper an lower control limits.
So, The tech assistance process is stable and in control.