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B) Supposed the probability that a student will pass an Economics exam is 1/2, the probability that he will pass an Economics and Management exam is 3/5, and the probability that he will pass an
Economics or a Management exam is
4/5. Find the probability that the student will pass a management exam.
(a) According to the Ministry of Health, the height of travellers who were quarantined in Accra for
the coronavirus were normally distributed about a mean of 170cm and a variance of 36cm. Find
the probability that a traveller selected at random has
i) Height between 160cm and 175cm
ii) Height above 164cm.
iii) Height below 180 cm
a) Wires manufactured for a certain computer system are specified to have a resistance of between 0.11 and 0.16 ohm. The actual measured resistances of the wires produced by Company A have a normal probability distribution, with a mean of 0.14 ohms, and a standard deviation of 0.003 ohms. What is the probability that a randomly selected wire from Company A’s production lot will meet the specifications?
Supposed Ghana Standards Boards collected 40 electric bulbs from ELECTRO-NETS LTD for testing and 10 of them happened to be defective. If 4 of the bulbs were randomly selected one after the other, what is the probability that all the 4 bulbs are defective assumed sampling without replacements.
Of the feed material for a manufacturing plant, 85% is satisfactory, and the rest is not. If it is satisfactory, the probability it will pass Test A is 92%. If it is not satisfactory, the probability it will pass Test A is 9.5%. If it passes Test A it goes on to Test B; 99% will pass Test B if the material is satisfactory, and 16% will pass Test B if the material is not satisfactory. If it fails Test A it goes on to Test C; 82% will pass Test C if the material is satisfactory, but only 3% will pass Test C if the material is not satisfactory. Material is accepted if it passes both Test A and Test B. Material is rejected if it fails both Test A and Test C. Material is reprocessed if it fails Test B or passes Test C.
h) What percentage of the feed material is accepted? i) What percentage of the feed material is reprocessed? j) What percentage of the material which is reprocessed was satisfactory?
if the distribution of a car’s transmission is governed by exponential density function with mean 100000, what will be the probability that car’s transmission will fail during its first 50000 km of operation.
Find Mean and Variance, if they exist in the following distribution:
fx={6x1-x ,0<x<1 0 , elsewhere
Before an increase in excise duty on tea , 400 people out of sample of 500 were found to be tea drinkers. After an increase in duty, 400 people were tea drinkers in a sample of 600 people. Using standard error of proportion , state whether there is significant decrease in consumption of tea at 5% level of significance. Take value of Z at 5% level of significance as 1.645.
A mathematics teacher in senior high school developed a problem-solving test to randomly selected 40 grade 11
students. These students had an average score of 85 and a standard deviation of 5. If the population had a mean
score of 90 and a standard deviation of 3, use 5% level of significance to test the hypothesis.
In a certain manufacturing process, 10% of the articles manufactured are defective. Let be the number of defective articles. If four articles are selected at random, what is the expected value of ?
