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Answer:
The probability that the stock will sell for $85 or less in a year's time is 0.10.
Step-by-step explanation:
Let <em>X</em> = stock's price during the next year.
The random variable <em>X</em> follows a normal distribution with mean, <em>μ</em> = $100 + $10 = $110 and standard deviation, <em>σ</em> = $20.
To compute the probability of a normally distributed random variable we first need to compute the <em>z</em>-score for the given value of the random variable.
The formula to compute the <em>z</em>-score is:
Compute the probability that the stock will sell for $85 or less in a year's time as follows:
Apply continuity correction:
P (X ≤ 85) = P (X < 85 - 0.50)
= P (X < 84.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the stock will sell for $85 or less in a year's time is 0.10.
Given a quadratic equation in standard form
The discriminant D
tells the types of roots the equation has.
In this case, we have
Then, the discriminant of this quadratic equation will be
Finally, the value of discriminat is 49 and as he discriminant is greater than zero then this quadratic equation has 2 different real solutions.