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A committee of four has to be formed from among 3 economist 4 engineer and statistician and a doctor
1) what is the probability that each of the four professional is repeated on the committee
2)what is the probability that the committee consist of doctor and at least one economist
Binary data are transmitted over a noisy communication channel in blocks of 16 binary digits. The probability that a received binary digit is in error due to channel noise is 0.1. Assume that the occurrence of an error in a particular digit does not influence the probability of occurrence of error in any other digit with in the block. a. Find the average (or expected) number of error per block. b. Find the variance of the number of error per block. c. Find the probability that the number of errors per block is greater than or equal to 5.
The number of driving miles before a certain kind of life begins to show wear is on the average, 16,800 miles with a standard deviation of 3,300 miles. a. What is the probability that the 36 tires will have an average of less than 16,000 miles until the tires begin to wear out? b. What is the probability that the 36 tires will have an average of more than 18,000 miles until the tirea begin to wear out?
a biologist estimates that 50 of deer in the region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 155 or fewer deer have this tick?
There are 250 dogs at a dog show that weigh an average of 12 pounds, with a standard deviation of 8 pounds. If 4 dogs are chosen at random, what is the probability that the average weight is greatee that 8 pounds
Rank each of the following value in order of smallest to largest:
a)The upper quartile
b)The median
c)The 20th percentile
d)Decile 6
e)The 0.38 fractile
f)The 70th percentile
g)The lower quartile
Which one of the following statements is true about correlation and causality? [1] Correlation between variables occurs when two variables have a relationship. [2] Correlation between two variables proves causation. [3] The example of a correlation is when an increase in value of exports cause a fall in economic growth. [4] Causality between two variables always implies correlation.
Sarah has 7 keys. Two of the keys unlock her desk drawer. If the first key she randomly chooses does not open the lock and she sets it aside, what is the probability that the second key she randomly chooses will unlock the drawer?
brian asked a group of people their favourite holiday destination.
the results are summarised in the table.
destination uk. europe. usa. africa. other
frequency. 156. 270. 204. 216. 234
angle. ? ? ? ? ?
work out the size of each angle to draw a pie chart
a= ? b= ? c=? d= ? e= ?
A company wants to estimate, how its monthly costs are related to its monthly output rate. The data
for a sample of nine months is tabulated below :
Using the data given above, perform following tasks:
(a) Calculate the best linear regression, where the monthly output is the dependent variable and
monthly cost is the independent variable.
(b) Use the regression line to predict the company’s monthly cost, if they decide to produce 4
tons per month.
Out Put (Tons) 1 2 4 8 6 5 8 9 7
Cost (Lakhs) 2 3 4 7 6 5 8 8 6
