Find the mean and standard deviation of x for each of the following binomial ran

Question

Find the mean and standard deviation of x for each of the following binomial random variables:
A. The number of tails seen in 50 tosses of a quarter
B. The number of left handed students in a classroom of 40 students (assume that 11% of the population is Left-handed)
C. The number of car found to have unsafe tires among the 400 cars stopped at a roadblock for inspection (assume the 6% of all cars have one or more unsafe tires)
D. The number of melon seeds that germinate when a package of 50 seeds is planted (the pack states that the probability of germination is 0.88)

Explanation / Answer

a. mean=50*1/2=25 standard deviation=sqrt(50*1/2*1/2)=3.54 b. mean=40*0.11=4.4 standard deviation=sqrt(40*0.11*0.89)=1.98 c. mean=400*0.06=24 standard deviation=sqrt(400*0.06*0.94)=4.75 d. mean=50*0.88=44 standard deviation=sqrt(50*0.88*0.12)=2.30

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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