Computing probability using normal probability distribution

Assignment Help Basic Statistics

Reference no: EM1311748

Q1) A bag of definite brand of popcorn is placed in the microwave oven and time it takes kernel to pop is observed. Assume that time to pop, X, has normal distribution with mean μ= 115 seconds and standard deviation σ = 23 seconds.

a) Use normal probability distribution features of EXCEL to help determine the probability.

Z score (110-115)/23 = -0.21739

P(X < 110) = 22% Is this correct?

b) If kernel of this brand of popcorn is chosen at random, determine the probability that it will take between 100 seconds and 145 seconds to pop? Shade in the suitable area under given curve to point out required probability of P(100 < X < 145)

I. Z score (100 + 145)/23 =10.65

II. Make use of normal probability distribution features of EXCEL to help determine the probability.

The area to shade will be between 100 and 145 below the curve.

P(100 < X < 145) = ______?_______

Reference no: EM1311748

Questions Cloud

Evaluate the sales in units to achieve a profit : Assume that variable expenses are reduced by 20% per unit, and the total fixed expenses are increased by 10%. Find the sales in units to achieve a profit of $20,000, assuming no change in selling price.

Ajax cleaning products is a medium sized : Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one very large firm Tile King.

What is the speed of the large cart after the collision : A cube of ice is taken from the freezer at -8.0 and placed in a 113 aluminium calorimeter filled with 306 of water at room temperature of 20.0. The final situation is observed to be all water at 15.0.

Calculation of break even sales in dollars. : Calculation of break even sales in dollars . Selling price per unit-$20 and total fixed expenses-$5,000

Computing probability using normal probability distribution : Make use of normal probability distribution features of EXCEL to help determine the probability.

Fishers equation-crowding out effect : In the country of Wiknam, the velocity of money is constant. Real GDP grows by 5 percent per year, the money stock grows by 14 percent per year, and the nominal interest rate is 11 percent. What is the real interest rate?

Small nation produces mushrooms for domestic consumption : Suppose that a small nation produces mushrooms for domestic consumption also possible export.

Find out the work for an isothermal expansion : A small ball of 53 grams is suspended from a string of length 86 centimeters and whirled in a circle lying in the horizontal plane. If the string makes and angle of 31 degrees with the vertical, find out the centripetal force experienced by the ball...

Kolmogorov-smirnov one-sample test : Below are one hundred pseudorandom numbers from a uniform pdf. Set up and test the appropriate goodness-of-fit hypothesis. Let α = 0.05.

User Account

All Pages