Question: Problem 6: (12 marks) Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of

Problem 6: (12 marks) Let X denote the courtship time for a randomly selected female-male

pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose

the mean value of X is 120 min and the standard deviation of X is 110 min.

a. (2 marks) Is it plausible that X is normally distributed?

b. (5 marks) For a random sample of 50 such pairs, what is the (approximate) probability

that the sample mean courtship time is between 100 min and 125 min?

c. (5 marks) For a random sample of 50 such pairs, what is the (approximate) probability

that the total courtship time exceeds 150 hours?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

The equity section of Ahab SA at December 31 is as follows. Instructions From a review of the equity section, as chief accountant, write a memo to the president of the company answering the following...

Q:

Let X denote the courtship time for a randomly selected female-male pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose the mean value of X is 120 min and the...

Q:

Lethenote the courtship time for a randomly selected femaleimale pair of mating scorpion flies (time from the beginning of interaction until mating). Suppose the mean value ofX is 120 min and the...

Q:

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Q:

Represent multisets using binary trees. Compare the representations (a), (b) and (c), stating the advantages and drawbacks of each. [Answers need not contain ML code. You may refer to algorithms and...

Q:

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Q:

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Q:

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

Q:

Cool-Aire Corporation manufactures a line of room air conditioners. Its breakeven sales level is 33,000 units. Sales are approximately normally distributed. Expected sales next year are 40,000 units...

Q:

Consider a production function of two inputs, labor and capital, given by Q = (L + K)2. The marginal products associated with this production function are as follows: Let w = 2 and r = 1. a) Suppose...

Q:

The cost of a firm s internal equity is generally higher than the costs of a firm s external equity due to issuance costs. Group of answer choices True False

Q:

Kingbird sells its specialty combination gas/wood-fired grills to local restaurants. Each grill is sold for $920 (cost $540) on credit with terms 3/30, net/90. Prepare the journal entries for the...