Solution :
Given that ,
(A)mean = λ = 2.5
Using poisson probability formula,
P(X = x) = (e- * x ) / x!
P(X = 9) = (e-2.5 * 2.5 9 ) / 9!
probability=0.0009
(B)Solution :
Given that ,
mean = λ = 8.0
Using poisson probability formula,
P(X = x) = (e- * x ) / x!
P(X = 5) = (e-8.0 * 8.0 5 ) / 5!
probability=0.0916
(C)Solution :
Given that ,
mean = λ = 0.5
Using poisson probability formula,
P(X = x) = (e- * x ) / x!
P(X = 4) = (e-0.5 * 0.54 ) / 4!
probability=0.0016
(D)Solution :
Given that ,
mean = λ = 3.7
Using poisson probability formula,
P(X = x) = (e- * x ) / x!
P(X = 7) = (e-3.7 * 3.7 7 ) / 7!
probability=0.0466
Assume a Poisson distribution. a. If a = 2.5, find P(X = 9). c. If a...
Assume a Poisson distribution. a. If A 2.5, find P(X-5) c. If λ-0.5, find P(X-0). b. IfX-8.0, find P(X-4) d. If 3.7, find P(X-6) a. P(X 5)- Round to four decimal places as needed.)
assume a poisson distribution 1. if lamba = 2.5, find P(X=3) 2. if lamba = 8.0, find P(X=0) 3. if lamba = 0.5, find P(X=4) 4. if lamba = 3.7, find P(X=7)
5.18 Assume a Poisson distribution. a. Ifl = 2.5,findP1X = 22. b. Ifl = 8.0,findP1X = 82. c. Ifl = 0.5,findP1X = 12. d. Ifl = 3.7,findP1X = 02.
The increase or decrease in the price of a stock between the beginning and the end of a trading day is assumed to be an equally likely random event. What is the probability that a stock will show an increase in its closing price on seven consecutive days? The probability that a stock will show an increase in its closing price on seven consecutive days is (Round to four decimal places as needed.) Assume a Poisson distribution a. If λ-2.5,...
3. Assume a Poisson distribution (Remember u 1) A. If μ-2.0, then what is P(X B. If μ 8.0, then what is P(X C. If μ = 0.5, then what is P(X D. If μ-4.0, then what is P(X E. If μ = 1.0, then what is P(X 3)? 4)? 2)? 2)? 5)?
Assume a Poisson distribution. Find the following probabilities. a. Let λ-5.0, find P(X23). b. Let λ:0.6, find P(X 1 ) c. LetA-6.0, find P(XS2) a. When A 5.0, P(X23)- Round to three decimal places as needed.) b. When λ:0.6, P(X 1,- (Round to three decimal places as needed.) C. When λ-60, P(X4- (Round to three decimal places as needed.) 1
Assume a random variable XX follows a Poisson distribution with a mean μ=3.7μ=3.7. Find P(X≤4) P(X≤4)=
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
Use Table A.3, Appendix A, to find the following Poisson distribution values. Appendix AAppendix A Statistical Tables (Round your answers to 4 decimal places.) a. P(x = 5 | λ = 1.8) = b. P(x < 5 | λ = 3.9) = c. P(x ≥ 3 | λ = 2.5) = d. P(2 < x ≤ 5 | λ = 4.2) =
Question 23 Suppose X has a Poisson distribution with a mean of 0.4. Determine the following probabilities. Round your answers to four decimal places (e.g. 98.7654) (a)P(X 2) (b)P(X S 5) (c)P(X-7) (d)P(X- 4)