Question

1. The sales records of a real estate agency show the following dailysales over the past 200 days. Convert this frequency table into an empirical probability distribution, then answer the question: What is the maximum usual number of houses sold in one day? Round your answer to two decimal places.

Houses sold : 0,1,2,3,4

Number of days: 50,87,43,15,5

2. Find the standard deviation of the probability distribution for the random variable x, which represents the number of cars per household in a small town. Round your answer to three decimal places.

x : 0,1,2,3,4

P(x) : .125, .428, .256, .108, .083

3. Find the standard deviation of the given probability distribution. Round your answer to one decimal place. The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6561, 0.2916, 0.0486, 0.0036, and 0.0001, respectively. Find the value of σ.

Answer #1

1. For a binomial distribution, if the probability of success is
0.621 on the first trial, what is the probability of success on the
second trial?
2.A company purchases shipments of machine components and uses
this acceptance sampling plan:
Randomly select and test 32 components and accept the whole batch
if there are fewer than 5 defectives.If a
particular shipment of thousands of components actually has a 5.5%
rate of defects, what is the probability that this whole shipment
will...

quality-control inspector of a production plant will reject a
batch of syringes if two or more defective syringes are found in a
random sample of ten syringes taken from the batch. Suppose the
batch contains 5% defective syringes.
(a) What is the expected number of defective syringes the
inspector will find? (Enter a number. Enter your answer to two
decimal places.)
(b) What is the probability that the batch will be accepted?
(Enter a number. Round your answer to three...

Records over the past year show that 1 out of 350 loans made by
Mammon Bank have defaulted. Find the probability that 2 or more out
of 290 loans will default. Hint: Is it appropriate to use the
Poisson approximation to the binomial distribution? (Round λ to 1
decimal place. Use 4 decimal places for your answer.)

The quality-control inspector of a production plant will
reject a batch of syringes if two or more are found in a random
sample of 10 syringes taken from the batch. Suppose the batch
contains 5% defective syringes. (a) Find the mean? (b) What is the
expected number of defective syringes the inspector will find? (c)
What is the probability that the batch will be accepted? (d) Find
the standard deviation. Round to three decimal places.

The quality-control inspector of a production plant will reject
a batch of syringes if two or more defective syringes are found in
a random sample of six syringes taken from the batch. Suppose the
batch contains 5% defective syringes.
(a)
Make a histogram showing the probabilities of r = 0, 1,
2, 3, …, 5 and 6 defective syringes in a random sample of six
syringes.
(b)
Find μ (in terms of the number of syringes). (Enter a number.
Enter...

1. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.3; σ = 3.5
P(10 ≤ x ≤ 26)=?
2.Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 5.9; σ = 1.1
P(7 ≤ x ≤ 9)=?
3. Assume that x has a normal...

Values are uniformly distributed between 197 and 256.
*(Round your answers to 3 decimal places.)
**(Round your answer to 1 decimal place.)
(a) What is the value of f(x) for this distribution?
(b) Determine the mean of this distribution:
(c) Determine the standard deviation of this distribution:
(d) Probability of (x > 245) =
(e) Probability of (204 ≤ x ≤ 231) =
(f) Probability of (x ≤ 224) =

8) WidgCo is a company that manufactures widgets. It is known
that 1 out of every 47 widgets that the company produces is
defective. A batch of 150 widgets is produced.
Find the probability that the number of defective widgets in the
batch is more than 1 but less than 5. Round your answer to 4
decimal places.

1.Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.) μ = 8; σ = 6 P(5 ≤ x ≤ 14)
=
2. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.4; σ = 4.2
P(10 ≤ x ≤ 26) =
3. Assume that x has...

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
? = 4.6; ? = 1.9
P(3 ? x ? 6) =
Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
? = 28; ? = 4.2
P(x ? 30) =
Consider a normal distribution with mean 36 and...

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