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

A real estate sales agency specializes in selling vacation
property. Its records indicate that the mean selling time of
vacation property is 75 days. However, it believes that because of
the recent hurricanes, the mean selling time is now greater than 75
days. A survey of 100 properties sold recently revealed that the
mean selling time was 79 days, with a standard deviation of 19
days.
At the 0.10 significance level, has there been an increase in
selling time?
a....

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.)

Records over the past year show that 1 out of 380 loans made by
Mammon Bank have defaulted. Find the probability that 4 or more out
of 345 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.)

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...

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) =

1)A real estate agent has 20 properties that she shows. She
feels that there is a 440% chance of selling any one property
during a week. The chance of selling any one property is
independent of selling another property. Compute the probability of
selling less than 5 properties in one week. Round your answer to
four decimal places.
2)Assume the random variable X has a binomial distribution with
the given probability of obtaining a success. Find the following
probability, given...

1.
Assume that a procedure yields a binomial distribution with
n=788 trials and the probability of success for one trial is p=0.67
.
Find the mean for this binomial distribution.
(Round answer to one decimal place.)
μ=
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
σ=
Use the range rule of thumb to find the minimum usual value μ-2σ
and the maximum usual value μ+2σ.
Enter answer as an interval using square-brackets round to 4...

Suppose that for a given computer salesperson, the probability
distribution of x = the number of systems sold in 1 month
is given by the following table.
x
1
2
3
4
5
6
7
8
p(x)
0.04
0.10
0.13
0.30
0.30
0.11
0.01
0.01
(a) Find the mean value of x (the mean number of
systems sold).
Answer= 4.14
(b) Find the variance and standard deviation of x.
(Round your standard deviation to four decimal places.)
variance = 1.8604...

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 8; σ = 2
P(7 ≤ x ≤ 11) =
Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 20; σ = 3.4
P(x ≥ 30) =

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