Probability Q&A Archives - Page 2 of 9 - The Story of Mathematics - A History of Mathematical Thought from Ancient Times to the Modern Day

A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs?

– In existing experimentation, $100$ customers were asked to choose the design they liked. The subsequent data were acquired. Do the data demonstrate the thought that one design is just as conceivable to be designated as another? Explain. This problem aims to familiarize us with the concept of the null hypothesis and probability distribution. The […]

A wildlife biologist examines frogs for a genetic trait he suspects may be linked to sensitivity to industrial toxins in the environment.

– The genetic trait was previously found to be 1 in every 8 frogs. – He collects 12 frogs and examines them for the genetic trait. Read moreIn how many different orders can five runners finish a race if no ties are allowed?– What is the probability the wildlife biologist would find the trait in […]

The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x)=2.2 for 49.8 < x < 50.2 pounds. a) Determine the probability that a package weighs more than 50 pounds. b) How much chemical is contained in 90% of all packages?

The question aims to find the probability that a package can weigh more than 50 pounds and how much chemical is contained in 90% of the package. The question depends on the concept of Probability Density Function (PDF). The PDF is the probability function that represents the likelihood of all the values of the continuous random variable. […]

Which of the following is not a requirement of the binomial probability distribution?

-Which of the following is not a requirement of the binomial probability distribution?– Each attempt must have all outcomes organized into two categories.– The attempt must be dependent.– The probability of success remains the same in all attempts.– The procedure has a fixed number of attempts. This problem aims to discuss the requirements of the […]

Find the probability P (E or F), if E and F are mutually exclusive.

P(E) = 0.38 P(F) = 0.57 Read moreIn how many different orders can five runners finish a race if no ties are allowed?The of this question is to find the probability of two mutually exclusive events E and F when either of them can occur. The question is based on the concept of probability of […]