Mason never has a pencil when test day rolls around. Because the classmates are tired of having to supply pencils for Mason, only 15% of students will give Mason a pencil when
asked. Today is test day and Mason begins asking randomly selected students for a pencil.
Let Y = the number of students Mason asks until he finds someone who will give him a
pencil.
1. Describe this probability distribution. Be sure to check the appropriate conditions.
2. What is the probability that the third person asked is the first person who gives
him a pencil?
3. What is the probability that Mason gets a pencil by the third person he would
ask?
4. How many people should Mason expect to ask before getting a pencil?
5. Should Mason be surprised if Mason didn't receive a pencil until he asked at
least 10 people? Calculate a probability to justify your answer.
6. Find the standard deviation for the distribution of the number of people he asks
for a pencil before finding someone who will give him onest

Sixth step is a solution implemented in the decision-making process of solving a workplace problem

Answerdatabase;

Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)

False is the answer    hope to soon