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1. True or False, Justify for full credit-
(a) If the variance of a data set is zero, then all the observations in this data set are zero.
(b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9.
a. Assume X follows a continuous distribution which is symmetric about 0. If P(X > 2) = 0.3, then P(X < -3) ≤0.3.
b. A 95% confidence interval is wider than a 90% confidence interval of the same parameter.
c. In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student's t-distribution with P(T < 1.5) = 0.96, then we fail to reject the null hypothesis at 0.05 level of significance.
Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit.
Describe all terms used as well as listing the steps and Show how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
You are standing on a hotel balcony 30 feet up from the ground. You want to throw your key to someone standing outside the hotel on the ground. You throw it angled upward with an initial velocity of 55 ft/sec. Assume that the acceleration due to g..
The residuals plot indicated that a linear model is appropriate. Write a sentence summarizing what R2 says about this regression.
a survey of group of students revealed that 85% have a mobile phone, 60% have an MP3 player and 5% have neither. Find the probability that the student has a mobile phone.
Example of a Random Procedure with Specified Events. Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events
determine the apparent brightness that we would measure for the Sun if we were located at the following positions.
draw a diagram to solve the problem.a coast guard station received a distress call from a fishing boat 12 km away.
a fabric wall hanging is to fill a space that measures 12 ft by 10 ft. allowing for 3 in. of the fabric to be folded
a container of the form obtained by revolving the parabola y = 0.75 x^2, 0
Let A be a nonempty, bounded set of real numbers. Show, that sup A >inf A if and only if A contains at least two different points.
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