Question: In a study to reveal the relation between IQ and depression, it was established that 25% of the adult population suffers from depration and those

In a study to reveal the relation between IQ and depression, it was established that 25% of the adult population suffers from depration and those who are depressed have an average IQ of 105 which is normally distributed with a standard deviation of 15 points.

(a) If a random sample of 60 persons from the population is picked, what is the probability that at least 24 of them suffer from depression?

(b) If a random sample of 10 persons is picked, what is the probability that at most, only 1 of them suffers from depression?

(c) If a random sample of 100 depressed individuals is picked, what is the probability that their average IQ is more than 110?

(d) If a random sample of 10 depressed individuals is picked, what is the probability that their average IQ is more than 110?

(e) If we pick a random individual from the population, what is the probability that this individual will be a patient of depression with an IQ higher than 115?

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

As Pes Given datel Depression P 025 4 1P 075 12 el J 15 105 A If random sample ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Chemistry Questions!

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Answer T (true) or F (false) to the following: 1. For a normally distributed population of heights of 10,000 women, m = 63 inches and s = 5 inches. The number of heights in the population that fall...

In a vacuum diode, electrons are "boiled" off a hot cathode, at potential zero, and accelerated across a gap to the anode, which is held at positive potential V 0 . The cloud of moving electrons...

For randomly selected adults, IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. A sample of 24 randomly selected college professors resulted in IQ scores having a...

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n = 49...

The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 400 psi. A random sample of 36 rivets is taken. Consider the distribution of X, the...

In a recent year, turkey prices increased because of a high rate of turkey deaths caused by a heat wave and a fatal illness that spread across North Carolina, the top turkey-producing state. Suppose...

Suppose a Realtor is interested in comparing the asking prices of midrange homes in Peoria, Illinois, and Evansville, Indiana. The Realtor conducts a small telephone survey in the two cities, asking...

The number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 15. A random sample of 15 sales-people was taken, and the number of cars each sold is...

Consider 100 m3 of atmospheric air at 100 kPa, 25C, and 80% relative humidity. Assume this is brought into a basement room where it cools to 15C, 100 kPa. How much liquid water will...

The shareholders of Flannery Company have voted in favour of a buyout offer from Stultz Corporation. Information about each firm is given here: Flannerys shareholders will receive one share of Stultz...

If Cash Co. paid $10,732 in wages in cash during the reporting period and had: - Beginning balance in wages in wages payable of $3,117 -Ending balance in wages payable of $9,394 What was Wages...

Nuval Audio Systems (NAS), Inc. is evaluating the market potential of producing and marketing latest version of a voice recognition (VR) computer keyboard. The results of an initial questionnaire...

MMs CFO is trying to understand the new revenue recognition model and has asked you to explain how MM would account for the above scenario under the new standard. 1. How should MM account for the...

During the year, Royal company earned revenues of $400 million. Expenses incurred totaled $320 million. The company collected all but $15 million of the revenues earned and paid $30 million of its...

On December 31, 2020, Berclair Inc. had 500 million shares of common stock and 3 million shares of 9%, $100 par value cumulative preferred stock issued and outstanding. On March 1, 2021, Berclair...

1) You are serving as the chair for your communitys annual wellness campaign. A key event is the annual Walk 3k, Run 10k, Ride 20k event. The event is staged entirely by volunteers and the goal is to...

solve Question 7 Convert the equation to exponential form: logza = -5 O 21 = -5 Ox =2 O -57 = 2 Or = 25 Question 8 Convert the equation to exponential form: logg * = o (2) = I O 23 = 8 O 83 OG) =8...

Please help me review this Discussion section of a research paper and what can be fixed within the section. Discussion: Depression is a common disorder that negatively impacts many individuals lives....

i need some one toanswering these three questions. make sure to include apa format for the information pretty straight forward. Attached below are the chapters. Chapter 7: 7.2 #2 (p. 168) Chapter 8:...

Chapter 7:7.2 #2 (p. 168) Chapter 8:8.2 #3 (p. 205) Chapter 9:9.2 #1 (p. 225) a., b., and c. (for c., only answer the adjustable rate mortgage part Chapter 7 from Personal Finance was adapted by The...

please help me with this assignment I need to identify the issue, specify the IDEA principle it pertains to, state the rule, and provide a brief conclusion. STATE OF MAINE SPECIAL EDUCATION DUE...

Discussion Topics, Mohr Chapter 1, Introduction to Psychiatric-Mental Health Nursing 1. After learning about mental illnesses in class, a classmate expresses her fear of developing a mental illness....