For each of the following decide if the random variable defined (X) is a Binomia

Question

For each of the following decide if the random variable defined (X) is a Binomial variable or not. If it is not a Binomial variable, say which of the four conditions are not met. If it is a Binomial, give the probability function, n! substituting in the values for n and given by the question (a) A box contains 100 batteries. Ten of the batteries are dead. Five batteries are ran- domly selected (simultaneously sampling 5 is the same as sampling one-by-one without replacement). Define X as the number of dead batteries in the sample (b) In a large population 5% of the people are unemployed. We randomly select 10 people Define X as the number of employed people in the sample. When the question says "large population" this means that there is very little difference between sampling with and without replacement. So even though sampling 10 people is the same as sampling one-by-one without replacement, we can treat the situation as if it were sampling with replacement (c) In a large population of married couples (husbands and wives) 5% all people are unem ployed. We randomly select 5 couples (husbands and wives). Define X as the number of unemployed people in the 10 people sampled (d) Roll a six-sided die repeatedly until it comes up 5. Defined X as the total number of rolls

Explanation / Answer

a) no
p(pi) does not remain constant
b)
yes
n = 10 , pi= 0.05
c)
yes
n = 10 , pi = 0.05
d)
no
number of trial is not fixed.
In fact this is geometric distribution

Please rate

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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