A binomial random variable X reveals pµ=100 and o=20. Calculate P{X>101}.
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- The lifespan of a 100-W fluorescent lamp is define to be normally distributed with o = 30 hrs. A random sample of 15 lamps has a mean life of x = 1000 hours. Construct a 95% lower-confidence bound on the mean life.a) Find such that P( X < ? ) = 0.9332, where X is a normal random variable with mean = 10 and standard deviation = 2.5. b) Find such that P( X > ?) = 0.1230, where X is a normal random variable with mean = 10 and standard deviation = 2.5.where appropriate. 1. Experience has shown that the seeds from a certain variety of orchid have a 75% chance of germinating when planted under normal conditions. Suppose n seeds are planted, and let X be the random variable that counts the number of seeds that germinate. (a) What type of random variable is X? Indicate both the type and the appropriate parameters using the "~" notation. Write down the pmf of X, and do not forget to indicate the range of values that x can take on. X ~ px (x) = = (b) What is the minimum value of n so that the probability of at least five of the seeds germinating is at least 90%?
- Suppose X is a random variable with standard beta distribution and parameters (alpha) = 8 and (beta) = 2 What is (PX>=0.6)?When X is a binomial random variable, the standard deviation of the probability distribution = the square root of npq If X is a binomial random variable, where there are 196 trials, and p = 0.252 find the standard deviation.If XX represents a random variable coming from a normal distribution and P(X<10.2)=0.22P(X<10.2)=0.22, then P(X>10.2)=0.78P(X>10.2)=0.78. true or false
- If continuous random variable normally distributed with mu = 256.43 and J = 27.11 , what is P(225.75 <= x <= 300.35) ?Let x be a continuous random variable that is normally distributed with a mean of 123.5 and a standard deviation of 12.3. FInd the probability that x assumes a value between 97.9 and 113.2.Suppose that the time. in days, required to repair a heat pump is a random variable X having a gamma distribution with parameters k = 8 and A = 2. What is the probability that on the next service call (a) at most 3 day will be required to repair the heat pump? (b) at least 2 days will be required to repair the heat pump? %3D %3D
- Assume the random variable X is normally distributed with mean =50 and standard deviation =7. Compute the probability. P(X > 36)=Consider a binomial random variable x- Binom(n.p) with n = 50 being the number of trials and p= 0.2 being the probability of success. Calculate P(X> 12) It is recommended that you use R for this calculation. Answer as a decimal and not a percentage. Accuracy required to 3 decimal places, e.g. 0.123.If all possible samples of size 16 are drawn from a normal population with mean equal to 50 and standard deviation equal to 5, what is the probability that a sample mean, ,will fall in the interval from Hx-1.90g to Hx –0.40g ? Assume that the sample means can be measured to any degree of accuracy.
