uluing 133 8P more questions correct by guessing? ) What is the probability of g

Question

uluing 133 8P more questions correct by guessing? ) What is the probability of getting between 12 0 and 138 owere questions correct by estions correct bx. guessing? the oro f getting b 0 e) What is the probability of getting exactly 132 questions correct? The probability of Emily getting a strike in bowling is .43. a) 2. What is the probability of Emily getting exactly 75 strikes out of 195 attempts? What is the probability of Emily getting between 80 and 95 strikes out of 195 attempts? c) b) What is the probability of Emily getting less than 75 strikes out of 195 attempts? d) What is the probability of Emily getting more than 79 strikes out of 195 attempts: e) What is the probability of Emily getting less than 45 strikes out of 110 attempts? The probability of Richard correctly making up a key to a statistics test is.20. a) b) c) d) 3. What is the probability that Richard makes exactly 40 correct keys out of 110 attempts? What is the probability that Richard makes more than 35 correct keys out of 110 attempt What is the probability that Richard makes less than 60 correct keys out of 110 attempts? What is the probability that Richard makes between 45 and 55 correct keys out of 110 attempts? 2 a) What is the probability of rolling doubles using two dice? b) c) d) 4. What is the probability of rolling 18 doubles using two dice in 100 attempts? What is the probability of rolling more than 20 doubles using two dice in 100 attempts? What is the probability of rolling less than 19 doubles using two dice in 100 attempts?

Explanation / Answer

As per binomial distribution,
P(X=r) = nCr * p^r * (1-p)^(n-r)

Here, p = 0.43

a) P(x = 75)
= 195C75 * 0.43^75 * ( 1 - 0.43)^120
= 0.0256

b)
P(80 <= X <= 95)
= P(X <= 95) - P(X < 80)
= 0.6882

Excel formula: =BINOM.DIST(95,195, 0.43,TRUE) - BINOM.DIST(79,195,0.43,TRUE)

c)
P(x < 75)
= 0.0876

Excel formula: =BINOM.DIST(74,195, 0.43,TRUE)

d)
P(X > 79)
= 1 - P(X <= 79)
= 0.7347

Excel formula: =1-BINOM.DIST(79,195, 0.43,TRUE)

e)
P(X < 45) = P(X <= 44) = 0.2961

Excel formula =BINOM.DIST(44,110, 0.43,TRUE)

Note: the above problems are solved using binomial formulas in excel as numbers are large. This can also be solved using normal approximation method.

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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