Math Answers

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

𝜇 = 4; 𝜎 = 2

P(3 ≤ x ≤ 6) = 

How many rows appear in a truth table for each of these compound propositions?

p →¬p

Determine whether these biconditionals are true or false.

a) 2 + 2 = 4 if and only if 1 + 1 = 2.

There are 42 male employees and 33 females employees in a company. Find the ratio of

(a) the number of male employees to the number of female employees,

(b) the number of female employees to the total number of employees.

a) Learner says:

“405 is smaller than 450” Concept(s)/aspect(s) involved (1)

Is the answer right or wrong? Give reasons/explanation (1)

For each day, independent of the others, the length of time for one individual to be served at

a cafeteria is a random variable having an exponential distribution with a mean of 4 minutes. What is the

probability that a person is served in less than 3 minutes on at least 4 of the next 6 days?

The demand for a product, in dollars, is P=2000-0.2x-0.01x^2. Find the consumer surplus when the sales level is 250

There are fifteen students writing a Statistics exam. What is the probability of correctly

predicting the three students who obtain the highest marks in the exam, in the correct

order, assuming that no student obtains the same mark as any other student?

) Give an example to show that if the convergence of 􏰄 an is conditional and (bn) is a bounded

∞

sequence, then 􏰄 anbn may diverge.

E xplain the general m otion of a Sim ple P endulum .