# Question: Use Chebyshev s theorem and Theorem 5 3 to verify that the

Use Chebyshev’s theorem and Theorem 5.3 to verify that the probability is at least 35 36 that

(a) In 900 flips of a balanced coin the proportion of heads will be between 0.40 and 0.60;

(b) In 10,000 flips of a balanced coin the proportion of heads will be between 0.47 and 0.53;

(c) In 1,000,000 flips of a balanced coin the proportion of heads will be between 0.497 and 0.503.

(a) In 900 flips of a balanced coin the proportion of heads will be between 0.40 and 0.60;

(b) In 10,000 flips of a balanced coin the proportion of heads will be between 0.47 and 0.53;

(c) In 1,000,000 flips of a balanced coin the proportion of heads will be between 0.497 and 0.503.

**View Solution:**## Answer to relevant Questions

If the probabilities of having a male or female child are both 0.50, find the probabilities that (a) A family’s fourth child is their first son; (b) A family’s seventh child is their second daughter; (c) A family’s ...Adapt the formula of Theorem 5.5 so that it can be used to express geometric probabilities in terms of binomial probabilities, and use the formula and Table I to (a) Verify the result of Example 5.5; (b) Rework Exercise ...A shipment of 80 burglar alarms contains 4 that are defective. If 3 from the shipment are randomly selected and shipped to a customer, find the probability that the customer will get exactly one bad unit using (a) The ...The number of complaints that a dry-cleaning establishment receives per day is a random variable having a Poisson distribution with θ = 3.3. Use the formula for the Poisson distribution to find the probability that it will ...Among 25 silver dollars struck in 1903 there are 15 from the Philadelphia mint, 7 from the New Orleans mint, and 3 from the San Francisco mint. If 5 of these silver dollars are picked at random, find the probabilities of ...Post your question