Bob and will toss two coins. if both coins come up heads, bob pays will $6. will pays bob $2 otherwise. what is the expected val
2 answers:
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Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
So, the probability is P=0.3087.
Step-by-step explanation:
We know that Priya's cat is pregnant with a litter of 5 kittens, so n=5.
Each kitten had a 30% chance of being chocolate brown.
We get that p=0.3 and q=1-0.3=0.7.
We calculate the probability that exactly 2 kittens will be chocolate brown, so k=2.
We use the formula:
we get
So, the probability is P=0.3087.