Question

In: Statistics and Probability

1. Suppose x is a random variable best described by a uniform probability distribution with   and   Find   2....

1. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

2. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

3. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

4. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

5. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

6. Suppose x is a random variable best described by a uniform probability distribution with   and   Find  

7. Suppose x is a uniform random variable with c = 10 and d = 90. Find P(13 < x < 85).
Round to the nearest hundredth when necessary.

8. Suppose x is a uniform random variable with c = 10 and d = 50. Find P(13 < x < 45).
Round to the nearest hundredth when necessary.

9. Suppose x is a uniform random variable with c = 20 and d = 70. Find P(23 < x < 65).
Round to the nearest hundredth when necessary.

10. High temperatures in a certain city for the month of August follow a uniform distribution over the interval   to   Find the temperature which is exceeded by the high temperatures on 90% of the days in August.

11. Suppose a uniform random variable can be used to describe the outcome of an experiment with outcomes ranging from 20 to 70. What is the probability that this experiment results in an outcome less than 30? Round to the nearest hundredth when necessary

12. Suppose x is a random variable best described by a uniform probability distribution with   and   Find the value of a that makes the following probability statement true:  

13. The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 6.5 to 8.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 7.4 millimeters?

Solutions

Expert Solution

7. Suppose x is a uniform random variable with c = 10 and d = 90. Find P(13 < x < 85).

P (    13   ≤ X ≤    85   ) =(x2-x1)/(d-c) =    0.9

8. Suppose x is a uniform random variable with c = 10 and d = 50. Find P(13 < x < 45).

P (    13   ≤ X ≤    45   ) =(x2-x1)/(d-c) =    0.8

9. Suppose x is a uniform random variable with c = 20 and d = 70. Find P(23 < x < 65).

P (    23   ≤ X ≤    65   ) =(x2-x1)/(d-c) =    0.84

11. Suppose a uniform random variable can be used to describe the outcome of an experiment with outcomes ranging from 20 to 70. What is the probability that this experiment results in an outcome less than 30? Round to the nearest hundredth when necessary

P(X ≤ x) =    (x-a)/(b-a) =    0.2

Please note that for other question data has been missing.

Thanks in advance!

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