The gene BRCA1 is expressed in breast tissue and in several other tissues of the body. BRCA1 codes for a tumour suppressor protein. This protein is involved in either repairing damaged DNA, or in triggering the death of a cell if DNA cannot be repaired. Some mutations in BRCA1 are associated with an increased risk of developing breast cancer. Genetic screening shows that in the UK: - $$\(\quad 1\)$$ in 400 females have a mutated allele of BRCA1 - $$\(70 \%\)$$ of females with a mutated allele of BRCA1 will develop breast cancer by the time they are 80 years old. In 2022, the population of females in the UK was $$\(3.5 \times 10^{7}\)$$. Calculate the number of females in the UK population in 2022 who it is estimated will develop breast cancer by the age of 80 years old. Give your answer in standard form. Show your working. $$\[ \text { number of females }= \]$$ .....................................................

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