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Determine if the following argument is valid or if it exhibits the converse or the inverse error. Use symbols to write the logical form of argument. If the argument is valid, identify the rule of inference that guarantees its validity. Otherwise, state whether the converse or the inverse error is made.
If at least one of these two numbers is divisible by 6,
then the product of these two numbers is divisible by 6.
Neither of these two numbers is divisible by 6.
∴ The product of these two numbers is not divisible by 6.
1)Translate these statements into English, where C(x) is “x is a comedian” and F(x) is “x is funny” and the domain consists of all people.
a) ∀x(C(x) → F(x))
b) ∀x(C(x) ∧ F(x))
c) ∃x(C(x) → F(x))
2) Somie, a leader of the underworld, was killed by one of his own band of four henchmen. Detective Sharp interviewed the men and determined that all were lying except for one. He deduced who killed Somie on the basis of the following statements:
a. Socko: Lefty killed Somie.
b. Fats: Muscles didn’t kill Somie.
c. Lefty: Muscles was shooting craps with Socko when Somie was knocked off.
d. Muscles: Lefty didn’t kill Somie.
Who did kill Somie?
6. Determine whether each of the following statements about Fibonacci numbers is true or false. Note
The first 10 terms of the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55.
a. If n is even, then F is an odd number.
b. 2F-Fn-2 = Fn+1 for n 23
A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year. Assuming that the battery lives are normally distributed, find the probability that a given battery will last less than 2.3 years.
The meat department at a local supermarket specifically prepares its "1-pound" packages of ground beef so that there will be a variety of weights, some slightly more and some slightly less than 1 pound. Suppose that the weights of these "1-pound" packages are normally distributed with a standard deviation of 0.15 pound. What is the probability that a randomly selected package of ground beef will weigh less than 0.80 pound?
1. Construct the sample space of an experiment of tossing three unbiased coins. Determine its discrete probability distribution.
2. Construct a discrete probability distribution for a basketball team's probability of winning in 4 consecutive games.
Given the population of numbers 3,6,8,9 and 4. Suppose samples of size 3 are drawn from this population.
Construct the sampling distribution of sample means.
Given the population of numbers 3,6,8,9 and 4.Suppose samples of a size 3 are drawn from this population.
1. What is the mean and the variance of population?
2. how many different samples of size 3 can be drawn from the population? List them with their corresponding mean.
jo-ann owns jewerly store. She used 150 pairs of earrings as her sample of the different design. The population standard deviation of the price of the earrings is 65 pesos. suppose that jo-ann wants a 98% level of confidence to determine the mean of price all her earrings she is selling. Compute for length of the confidence retrival
Fine the altitude and the area of an equilateral triangle whose side is 60+60+60=180
