4. The mineral museum in Butte, MT is interested in selling bags of rocks containing a mix of geodes and nodules for customers to crack open. Suppose they have 350 nodules and 250 geodes to randomly draw 12 rocks from with which to make these bags. Let X be the number of geodes in a bag.
mineral museum in Butte, MT is interested in selling bags of rocks containing a mix of geodes and
What distribution does X follow? Include the parameters for the identified distribution in proper notation.
How many geodes can be expected in any given bag? What is the variance of the number of geodes in a bag?
Calculate the probability that exactly half of the rocks in a randomly selected bag are geodes.
Calculate the probability that more than one third of the rocks in a randomly selected bag are geodes.
4. The mineral museum in Butte, MT is interested in selling bags of rocks containing a...
4. A certain machine fills potato bags following a normal distribution with the following parameters: ?=20 ??, ?=3. The probability that a randomly selected bag contains more than X oz is 3%. Show all work to find the value of X.
Let X be normally distributed with mean 100 cm and standard deviation 5 cm.
(a) On the diagram below, shade the region representing P(X > 105).
(2)
(b) Given that P(X < d) = P(X > 105), find the value of d.
(2)
(c) Given that P(X > 105) = 0.16 (correct to two significant figures), find P(d < X < 105).
(2)
(Total 6 marks)
2. A test has five questions. To pass the test, at least three of...
SYNOPSIS The product manager for coffee development at Kraft Canada must decide whether to introduce the company's new line of single-serve coffee pods or to await results from the product's launch in the United States. Key strategic decisions include choosing the target market to focus on and determining the value proposition to emphasize. Important questions are also raised in regard to how the new product should be branded, the flavors to offer, whether Kraft should use traditional distribution channels or...