Question

If a coin is tossed 100 times, what is the probability that (a) it comes up heads more than 60 times; (b) the observed proportion of heads exceeds 0.6.

Answer #1

A coin is tossed 100 times and the results are recorded. 40
times the coin lands on heads, the other 60 times the coin lands on
tails. If 40 of the recorded tosses were selected at random, what
is the probability that the coin landed on heads exactly 14
times?

If a penny is tossed three times and comes up heads all three
times, the probability of heads on the fourth trial is ___.
zero
1/16
½
larger than the probability of tails

If a coin is tossed 10 times, estimate with a normal
distribution the probability that it comes up heads exactly 5
times.
PLEASE EXPLAIN THE ESTIMATION WITH NORMAL DISTRIBUTION

A coin is tossed 10 times to test the hypothesis (?0) that the
probability of heads is ½ versus the alternative that the
probability is not ½. A test is defined by: reject ?0 if either 0
or 10 heads are observed.
a. What is the significance level of the test?
b. If in fact the probability of heads is 0.1, what is the
power, (1 − ?), of the test?

a
fair coin is tossed 150 times. find the probability of observing
less than 60 heads

A fair coin is tossed three times. What is the probability
that:
a. We get at least 1 tail
b. The second toss is a tail
c. We get no tails.
d. We get exactly one head.
e. You get more tails than heads.

If a quarter is tossed five times and comes up tails twice and
heads three times, the probability of heads on the next two tosses
is ...

A coin is tossed seven times. What is the probability that the
outcome is seven heads, given that exactly four of the coins show
heads?
The probability of getting seven heads is..?

A fair coin is tossed 4 times, what is the probability
that it lands on Heads each time?

Suppose that a fair coin is tossed 10 times.
(a) What is the sample space for this experiment?
(b) What is the probability of at least two heads?
(c) What is the probability that no two consecutive tosses come
up heads?

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