## Introduction to Mathematical Statistics |

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Page 34

card bridge hand consisting of: (a) 6 spades, 4 hearts, 2 diamonds, and 1 club; (b

) 13 ...

**Compute**the probability that this person will win at least one prize. 1.48.**Compute**the probability of being dealt at random and without replacement a 13-card bridge hand consisting of: (a) 6 spades, 4 hearts, 2 diamonds, and 1 club; (b

) 13 ...

Page 54

If six socks are taken at random and without replacement,

that there is at least one matching pair among these six socks. Hint.

probability that there is not a matching pair. > 2.6. A bowl contains ten chips.

If six socks are taken at random and without replacement,

**compute**the probabilitythat there is at least one matching pair among these six socks. Hint.

**Compute**theprobability that there is not a matching pair. > 2.6. A bowl contains ten chips.

Page 182

Let Y, & Ya • Ya - Y, & Ys denote the order statistics of a random sample of size 5

from a distribution of the continuous type.

Yi < $o.25 × Ya); (c) Pr(Y, & £o.so 3 Ys). 6.17.

Let Y, & Ya • Ya - Y, & Ys denote the order statistics of a random sample of size 5

from a distribution of the continuous type.

**Compute**(a) Pr(Yi < $o.5 × Ys); (b) Pr(Yi < $o.25 × Ya); (c) Pr(Y, & £o.so 3 Ys). 6.17.

**Compute**Pr(Ya • fols < Yo) if Yi < .### What people are saying - Write a review

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accept accordance Accordingly alternative approximately assume called cent Chapter complete compute conditional confidence interval Consider constant continuous type critical region decision defined definition degrees of freedom denote a random depend determine discrete type distribution function equal Equation event Example EXERCISES exists expected fact given Hence inequality integral interval joint p.d.f. Let X1 likelihood marginal matrix maximum mean moment-generating function mutually stochastically independent normal distribution Note observed order statistics outcome parameter Pr(X probability density functions problem proof prove random experiment random interval random sample random variable ratio reject respectively result sample space Show significance level simple hypothesis ſº stochastically independent sufficient statistic symmetric matrix Table theorem transformation true unknown variance write X1 and X2 zero elsewhere