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Q1) Decide whether experiment is binomial, Poisson or neither based on info given. Each week man plays game in which he has a 21% chance of winning. Random variable is number of times he wins in 64 weeks.
i) binomial
ii) Poisson
iii) Neither
Q2)We have Poisson distribution with mean = 4. Determine P(X = 3), P(X < 3), P(X <= 3), P(X > 3), variance, and standard deviation.
Transportation problem involves following costs, supply and demand.
To
From
1
2
3
4
Supply
$500
$750
$300
$450
12
650
800
400
600
17
700
500
550
11
Demand
10
i) Create a linear programming model for this problem.
ii) Solve this transportation problem using computer (note: if using QM for Windows, make sure to choose the transportation module).
Show the graph of the probability density function for flight time.
Give critical test statistic and compute sample test statistic. Test null hypothesis at alpha level .01.
Constructing a 95% confidence interval for the true length of time for all pepper seeds to germinate you must calculate the margin of error. The margin of error in this case is 0.60.
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28. The probability that X will take on a value between 21 and 25 is.
For following scores determine values of each expression: X: 4, 2, 1, & 5. åX, åX 2 , (åX) 2 , å(X-1).
Find out the operating characteristics for this system.
The mean of a normal probability distribution is 60; the standard deviation is 5.
What type of error has possibly been committed? Explain the error in ordinary language.
Roger has read a report that the weights of adult mail Siberian tigers have a distribution which is approximately normal with mean μ = 390 lb and σ = 65 lb.
What does it mean to say that a particular value of x has a z-score of -2.1?
Find the probability of a type I error α if the true proportion is p=0.6.
A market survey was conducted to estimate the proportion of homemakers who would recognize the brand name of a cleanser based on the shape and color of the container. Of the 1,4000 homemakers sampled, 420 were able to identify the brand by name.
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