()Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the firstcard is (a) replaced, (b) not replaced.(ii) Measurements of the diameters of a random sample of 200 ball bearings made by a certain machine during one weekshowed a mean of 0.824 inch and a standard deviation of 0.042 inch. Find 99% confidence limits for the mean diameter ofall the ball bearings.

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(1)Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the first card is (a) replaced, (b) not replaced.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

()Two cards are drawn from a well-shuffled ordinary deck of 52 cards. Find the probability that they are both aces if the first
card is (a) replaced, (b) not replaced.
(ii) Measurements of the diameters of a random sample of 200 ball bearings made by a certain machine during one week
showed a mean of 0.824 inch and a standard deviation of 0.042 inch. Find 99% confidence limits for the mean diameter of
all the ball bearings.

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