BEC 1243: State Characteristics of Binomial Distribution - Statistics Assignment Help

Assignment Task:

Task:

1. (a) State Characteristics of Binomial Distribution.

(b) The probability that a member would be delay for a meeting, p is 0.4. He attends five meetings. Find the probability that he delays (a) exactly 2 meetings, (b) more than 4 meetings, (c) at least one meeting.

2. (a) State Characteristics of Poisson Distribution.

(b) It has found that 15 percent of diodes produced in a certain factory be defective. Find the probability that in sample of 5 diodes selected, (i) Exactly 3 will be defective. (ii) At most three will be defective.

3. Suppose 1 percent of the students on average are left handed. Find the probability that (a) exactly 2 students (c) 3 or more students are left handed if the number of left handed people are in a Poisson distribution.

4. Suppose that the student marks form a normal distribution with mean µ = 70 and standard deviation s = 10. Find the percentage P of students whose marks fall: (a) between 60 and 80 (b) between 55 and 68 (c) over 80 (d) less than 52 What is the highest mark out of the 15% percent of the students who has obtained the low marks?

5. Dennis Hogan Machinery Company has received a big order to produce electric motors for a manufacturing company. In order to fit in its bearing, the drive shaft of the motor must have a diameter of 5.1±.05 (inches). The company’s purchasing agent realizes that there is a large stock of steel rods in inventory with mean diameter of 5.07 inches, with a standard deviation .07 inches. What is the probability of a steel rod from inventory fitting the bearing?

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