1 The random variable X is uniformly distributed on the inte

1. The random variable X is uniformly distributed on the interval [1;-1]. Find the expectation like on the attached picture. 2. Spinner serves 1,000 spindles. The probability for a single thread breakage in a spindle for 1 minute is 0.002. Search for (approximately) the probability that for one minute break will occur more than 2 spindles. E (5 root x^12 )

Solution

For uniform distribution Mean

1/b-a = 1/2 =0.5

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2) This is a poisson distribution with np = mean = 2.

P(x>2) = 0.3233