Toss the coin four times. If the coin lands either all heads or
all tails, reject...
Toss the coin four times. If the coin lands either all heads or
all tails, reject H0: p=1/2. (The p denotes the chance for the coin
to land on heads.) Complete parts a and b.
(a) What is the probability of a Type I error for this
procedure?
(b) If p = 4/5, what is the probability of a Type II error for
this procedure?
19.4 ( A simulation)
To simulate the toss of a fair coin (the probability of heads...
19.4 ( A simulation)
To simulate the toss of a fair coin (the probability of heads
and tails are both 0.5) using a table of random digits.
(a) assign the digits 0,1,2,3, and 4 to represent heads and the
digits 5,6,7,8,9 to represent tails.
(b) assign the digists 0,2,4,6, and 8 to represent heads and the
digits 1,3,5,7, and 9 to represent tails.
(c) assign the digits 0,1,5,8, and 9 to represent heads and the
digits 2,3,4,6, and 7 to...
Suppose you toss a coin 100 times. Should you expect to get exactly
50 heads? Why...
Suppose you toss a coin 100 times. Should you expect to get exactly
50 heads? Why or why not?
A. Yes, because the number of tosses is even, so if the coin
is fair, half of the results should be heads.
B. No, because the chance of heads or tails is the same, the
chance of any number of heads is the same.
C. No, there will be small deviations by chance, but if the
coin is fair, the result...
Suppose we toss a fair coin three times. Consider the events
A: we toss three heads,...
Suppose we toss a fair coin three times. Consider the events
A: we toss three heads, B: we toss at least one
head, and C: we toss at least two tails.
P(A) = 12.5
P(B) = .875
P(C) = .50
What is P(A ∩ B), P(A ∩ C) and P(B ∩ C)?
If you can show steps, that'd be great. I'm not fully sure what
the difference between ∩ and ∪ is (sorry I can't make the ∪
bigger).
Alan tosses a coin 20 times. Bob pays Alan $1 if the first toss
falls heads,...
Alan tosses a coin 20 times. Bob pays Alan $1 if the first toss
falls heads, $2 if the first toss falls tails and the second heads,
$4 if the first two tosses both fall tails and the third heads, $8
if the first three tosses fall tails and the fourth heads, etc. If
the game is to be fair, how much should Alan pay Bob for the right
to play the game?