Homework #4-Chapter13 (20pts for turned in on time) (10pts) Binomial distributio

Question

Homework #4-Chapter13 (20pts for turned in on time) (10pts) Binomial distribution is a very important and common binomial variable X is always COUNT of distributions. There are 4 binomial settings to justify whether a variable or not 1. distribution in statisties, A something. But not all count variables have binomial variable X is a Binomial There are a fixed number n of observations. no b. The n observations are all independent. c Each observation falls into just two categories. We define one of them as Success', and d. The probability of success for a single observation (p) is the same for each observation. Keep these in mind, and tell whether the variable X isa binomial variable or not. It has to satisfy all 4 the other Failure settings to be binomial variable. If X is not a binomial variable, which of the setting did it not meet? (2.5pts)Research shows that around 90% of the chicken eggs will hatch at 100"FX is the number of hatched eggs from an incubator set as 100-F in a farm. (1) ch shows that around 90% of the chicken eggs will hatch at 100°, but only 80% In a farm, there are two incubators, and each have 20 eggs to hatch. One incubator is (2) (2.5pts)Resear at 95 "F. set at 100°F and the other is set at 95°F·X is the total number of hatched eggs from both incubators. (3) (25pts)Research shows that chicken eggs and duck eggs hatch rate at 100F are both 90%, 10 chicken eggs and 10 duck eggs are put in an incubator controlled at 100-FX is the number of hatched eggs from the incubator (4) (25pts)when an opinion poll calls residential telephone numbers at random, only 20% of the phone calls reach a live person. X is the number of calls that reach a live person out of 20 dialings from the random digit dialing machine

Explanation / Answer

1) X is not a binomial variable, it can be if the total number of trials: n is mentioned.

2)X is not a binomial variable, as the probability of success( hatching of egg) is not mentioned clearly, it is different at 100 F and 95 F

3) The probability of hatching is same for duck and chicken eggs ,

hence the probability of success: p = 0.9

Total number of eggs n = 10+10=20

Hence X is a binomial random variable.

4) X is a binomial random variable

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.